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Resources

Convert equations of parabolas from general to vertex form

39

g(x)=-3(x-4)^{2}+5

6

9

units down. What is the value of

h

when the equation of the transformed graph is written in vertex form?

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-4

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-2

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2

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10

The equation of a parabola is

y = x^2 - 6x + 17

. Write the equation in vertex form.

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Write any numbers as integers or simplified proper or improper fractions.

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The equation of a parabola is

y = x^2 - 10x + 19

. Write the equation in vertex form.

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Write any numbers as integers or simplified proper or improper fractions.

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The equation of a parabola is

y = x^2 - 6x + 18

. Write the equation in vertex form.

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Write any numbers as integers or simplified proper or improper fractions.

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The equation of a parabola is

y = x^2 + 8x + 18

. Write the equation in vertex form.

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Write any numbers as integers or simplified proper or improper fractions.

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The equation of a parabola is

y = x^2 - 8x + 18

. Write the equation in vertex form.

\newline

Write any numbers as integers or simplified proper or improper fractions.

\newline

The equation of a parabola is

y = x^2 + 10x + 18

. Write the equation in vertex form.

\newline

Write any numbers as integers or simplified proper or improper fractions.

\newline

The equation of a parabola is

y = x^2 + 6x + 18

. Write the equation in vertex form.

\newline

Write any numbers as integers or simplified proper or improper fractions.

\newline

The equation of a parabola is

y = x^2 - 8x + 17

. Write the equation in vertex form.

\newline

Write any numbers as integers or simplified proper or improper fractions.

\newline

The equation of a parabola is

y = x^2 - 6x + 19

. Write the equation in vertex form.

\newline

Write any numbers as integers or simplified proper or improper fractions.

\newline

The equation of a parabola is

y = x^2 + 6x + 19

. Write the equation in vertex form.

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Write any numbers as integers or simplified proper or improper fractions.

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Simplify. Write your answer using whole numbers and variables.

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\frac{9x^2 + 2x}{9x + 2}

F(x)=3x^2-16+21

find the zeros of the functions

Put the quadratic into vertex form and state the coordinates of the vertex.

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y=x^{2}+4 x+29

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y=

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(\square, \square)

Put the quadratic into vertex form and state the coordinates of the vertex.

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y=x^{2}+2 x+13

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y=

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(\square, \square)

Put the quadratic into vertex form and state the coordinates of the vertex.

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y=x^{2}-12 x+20

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y=

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(\square, \square)

Put the quadratic into vertex form and state the coordinates of the vertex.

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y=x^{2}-4 x-32

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y=

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(\square, \square)

Put the quadratic into vertex form and state the coordinates of the vertex.

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y=x^{2}-16 x

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y=

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(\square, \square)

Put the quadratic into vertex form and state the coordinates of the vertex.

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y=x^{2}-8 x+41

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y=

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(\square, \square)

Put the quadratic into vertex form and state the coordinates of the vertex.

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y=x^{2}+2 x+3

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y=

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(\square, \square)

Put the quadratic into vertex form and state the coordinates of the vertex.

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y=x^{2}+14 x+24

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y=

\newline

(\square, \square)

Put the quadratic into vertex form and state the coordinates of the vertex.

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y=x^{2}-20 x+25

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y=

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(\square, \square)

Put the quadratic into vertex form and state the coordinates of the vertex.

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y=x^{2}+10 x+24

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y=

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(\square, \square)

Put the quadratic into vertex form and state the coordinates of the vertex.

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y=x^{2}+10 x+9

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y=

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(\square, \square)

Put the quadratic into vertex form and state the coordinates of the vertex.

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y=x^{2}+4 x+5

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y=

\newline

(\square, \square)

Put the quadratic into vertex form and state the coordinates of the vertex.

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y=x^{2}+10 x+16

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y=

\newline

(\square, \square)

Put the quadratic into vertex form and state the coordinates of the vertex.

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y=x^{2}-4 x-12

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y=

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(\square, \square)

Put the quadratic into vertex form and state the coordinates of the vertex.

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y=x^{2}+2 x+37

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y=

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(\square, \square)

Put the quadratic into vertex form and state the coordinates of the vertex.

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y=x^{2}+10 x-2

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y=

\newline

(\square, \square)

Put the quadratic into vertex form and state the coordinates of the vertex.

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y=x^{2}-12 x+32

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y=

\newline

(\square, \square)

Put the quadratic into vertex form and state the coordinates of the vertex.

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y=x^{2}-8 x-2

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y=

\newline

(\square, \square)

Put the quadratic into vertex form and state the coordinates of the vertex.

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y=x^{2}-12 x-13

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y=

\newline

(\square, \square)

Put the quadratic into vertex form and state the coordinates of the vertex.

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y=x^{2}+2 x+37

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y=

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Put the quadratic into vertex form and state the coordinates of the vertex.

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y=x^{2}-10 x+50

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y=

\newline

(\square, \square)

Put the quadratic into vertex form and state the coordinates of the vertex.

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y=x^{2}+2 x-24

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y=

\newline

(\square, \square)

Put the quadratic into vertex form and state the coordinates of the vertex.

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y=x^{2}+4 x-21

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y=

\newline

(\square, \square)

Put the quadratic into vertex form and state the coordinates of the vertex.

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y=x^{2}+8 x-16

\newline

y=

\newline

(\square, \square)

Put the quadratic into vertex form and state the coordinates of the vertex.

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y=x^{2}-2 x-35

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y=

\newline

(\square, \square)

Put the quadratic into vertex form and state the coordinates of the vertex.

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y=x^{2}+14 x+22

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y=

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(\square, \square)

Complete the square to re-write the quadratic function in vertex form:

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y=x^{2}+8 x+9

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y=

Complete the square to re-write the quadratic function in vertex form:

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y=x^{2}-6 x+8

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y=

Complete the square to re-write the quadratic function in vertex form:

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y=x^{2}+8 x-9

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y=

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f

is given in three equivalent forms.

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Which form most quickly reveals the vertex?

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1

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f(x)=-3(x-2)^{2}+27

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f(x)=-3(x+1)(x-5)

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f(x)=-3x^{2}+12x+15

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What is the vertex?

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=(\square,\square)

Consider the polynomial function

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h(x)=x^{6}-3 x^{5}-17 x^{3} \text {. }

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What is the end behavior of the graph of

h

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1

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x \rightarrow \infty, h(x) \rightarrow \infty

x \rightarrow-\infty

h(x) \rightarrow \infty

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x \rightarrow \infty

h(x) \rightarrow-\infty

x \rightarrow-\infty, h(x) \rightarrow \infty

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x \rightarrow \infty

h(x) \rightarrow-\infty

x \rightarrow-\infty, h(x) \rightarrow-\infty

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x \rightarrow \infty, h(x) \rightarrow \infty

x \rightarrow-\infty

h(x) \rightarrow-\infty

y=g(x)

g(x)=3\left(\frac{1}{2}\right)^{-x}+2

is graphed in the

x y

-plane. Which of the following is a true statement?

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1

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(A) The graph of function

g

is always increasing.

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y

-intercept of the graph of function

g

(0,2)

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x

-intercept of the graph of function

g

(0,3)

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g

is symmetric with respect to the

y

y=f(x)

y=g(x)

are graphed in the

x y

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f(x)=3 x^{2}-3 x+7 \text { and }

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g(x)=3 x^{2}-3 x-1 \text {. If the }

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graph of function

f

y

(0, b)

and the graph of function

g

y

(0, c)

, then what is the value of

b-c

y=2 x^{2}-5 x+7

is graphed in the

x y

-plane, which of the following characteristics of the graph is displayed as a constant or coefficient in the equation?

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1

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x

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y

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x

-coordinate of the vertex

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y

-coordinate of the vertex

The equation of a circle is

x^{2}+(y+4)^{2}=1

. What are the center and radius of the circle?

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1

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(A) The center is

(-4,0)

and the radius is

1

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(B) The center is

(4,0)

and the radius is

1

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(C) The center is

(0,4)

and the radius is

1

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(D) The center is

(0,-4)

and the radius is

1

The equation of a parabola is

y = x^2 - 10x + 25

. Write the equation in vertex form.

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Write any numbers as integers or simplified proper or improper fractions.

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