Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

If the equation
y=2(1.5)^(x) is graphed in the
xy-plane, what are the coordinates of its
y-intercept?
Choose 1 answer:
(A)
(0,0)
(B)
(0,1.5)
(c)
(0,2)
(D)
(0,3)

If the equation $y=2(1.5)^{x}$ is graphed in the $x y$ -plane, what are the coordinates of its $y$ -intercept? $\newline$ Choose $1$ answer: $\newline$ (A) $(0,0)$ $\newline$ (B) $(0,1.5)$ $\newline$ (C) $(0,2)$ $\newline$ (D) $(0,3)$

View step-by-step help

View step-by-step help

Find properties of a parabola from equations in general form

Full solution

Q. If the equation

y=2(1.5)^{x}

is graphed in the

x y

-plane, what are the coordinates of its

y

-intercept?

\newline

Choose

1

answer:

\newline

(A)

(0,0)

\newline

(B)

(0,1.5)

\newline

(C)

(0,2)

\newline

(D)

(0,3)

Identify y-intercept: Identify the y-intercept of the graph. $\newline$ The y-intercept occurs where the graph crosses the y-axis, which is when $x=0$ .
Substitute $x=0$ : Substitute $x=0$ into the equation to find the y-coordinate of the y-intercept. $\newline$ $y = 2(1.5)^{(0)}$
Calculate y: Calculate the value of y when $x=0$ . $\newline$ $y = 2(1)$ because any number raised to the power of $0$ is $1$ . $\newline$ $y = 2 \times 1$ $\newline$ $y = 2$
Combine coordinates: Combine the value of $x$ and $y$ to get the coordinates of the y-intercept. $\newline$ The coordinates of the y-intercept are $(0, y)$ . $\newline$ Since $y=2$ when $x=0$ , the coordinates are $(0, 2)$ .

More problems from Find properties of a parabola from equations in general form

Question

What is the focus of the parabola

y = -x^2

\newline

Simplify any fractions.

\newline

(_____ , _____)

\newline

Posted 8 months ago

Question

The equation of a parabola is

y = x^2 - 10x + 25

. Write the equation in vertex form.

\newline

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

\newline

Posted 8 months ago

Question

In which direction does the parabola

x + y^2 = -7

\newline

\newline

\text{up}

\newline

\text{down}

\newline

\text{right}

\newline

\text{left}

Posted 9 months ago

Question

What is the vertex of the parabola

y = -4(x - 2)^2 + 2

?

\newline

(\_,\_)

Posted 9 months ago

Question

What is the axis of symmetry of the parabola

x = \frac{1}{2}(y + 3)^2 + 5

Posted 9 months ago

Question

In which direction does the parabola

x - 2y^2 = -5

\newline

\newline

\text{[A]up}

\newline

\text{[B]down}

\newline

\text{[C]right}

\newline

\text{[D]left}

Posted 9 months ago

Question

What is the vertex of the parabola

y - 8x^2 = 4

\newline

(\_,\_)

Posted 7 months ago

Question

The equation of a circle is

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

. What are the center and radius of the circle?

\newline

1

\newline

(A) The center is

(-4,0)

and the radius is

1

\newline

(B) The center is

(4,0)

and the radius is

1

\newline

(C) The center is

(0,4)

and the radius is

1

\newline

(D) The center is

(0,-4)

and the radius is

1

Posted 10 months ago

Question

y=(x-3)(x+9)

\newline

The given equation is graphed in the

x y

-plane. Which of the following are

x

-intercepts of the graph?

\newline

1

\newline

-3

-9

\newline

-3

9

\newline

3

-9

\newline

3

9

Posted 10 months ago

Question

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?

\newline

1

\newline

x

\newline

y

\newline

x

-coordinate of the vertex

\newline

y

-coordinate of the vertex

Posted 10 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant