Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

The graph of
y=|x| is reflected across the
x-axis and then scaled vertically by a factor of 7 .
What is the equation of the new graph?
Choose 1 answer:
(A)
y=7|x|
(B)
y=-7|x|
(c)
y=(1)/(7)|x|
(D)
y=-(1)/(7)|x|

The graph of $y=|x|$ is reflected across the $x$ -axis and then scaled vertically by a factor of $7$ . $\newline$ What is the equation of the new graph? $\newline$ Choose $1$ answer: $\newline$ (A) $y=7|x|$ $\newline$ (B) $y=-7|x|$ $\newline$ C) $y=\frac{1}{7}|x|$ $\newline$ (D) $y=-\frac{1}{7}|x|$

View step-by-step help

View step-by-step help

Transformations of absolute value functions: translations and reflections

Full solution

Q. The graph of

y=|x|

is reflected across the

x

-axis and then scaled vertically by a factor of

7

.

\newline

What is the equation of the new graph?

\newline

Choose

1

answer:

\newline

(A)

y=7|x|

\newline

(B)

y=-7|x|

\newline

C)

y=\frac{1}{7}|x|

\newline

(D)

y=-\frac{1}{7}|x|

Reflect across x-axis: Reflect $y=|x|$ across the x-axis. Reflection across the x-axis changes $y$ to $-y$ . New equation after reflection: $y = -|x|$
Scale vertically by $7$ : Scale the reflected graph vertically by a factor of $7$ . Scaling a graph vertically by a factor of $k$ multiplies the $y$ -values by $k$ . New equation after scaling: $y = -7| x |$

More problems from Transformations of absolute value functions: translations and reflections

Question

g(x)

g(x)

is the translation

2

f(x) = |x|

\newline

Write your answer in the form

a|x - h| + k

a

h

k

\newline

g(x) =

\newline

Posted 5 months ago

Question

g(x)

g(x)

is the reflection across the

y

f(x) = |x|

\newline

Write your answer in the form

a|x - h| + k

a

h

k

\newline

g(x) =

\newline

Posted 9 months ago

Question

y=|x|

is scaled vertically by a factor of

6

\newline

What is the equation of the new graph?

\newline

1

\newline

y=|x-6|

\newline

y=6|x|

\newline

y=\frac{1}{6}|x|

\newline

y=\left|x-\frac{1}{6}\right|

Posted 7 months ago

Question

y=|x|

is scaled vertically by a factor of

\frac{1}{3}

\newline

What is the equation of the new graph?

\newline

1

\newline

y=|x|-3

\newline

y=-3|x|

\newline

y=\frac{1}{3}|x|

\newline

y=|x|-\frac{1}{3}

Posted 8 months ago

Question

y=|x|

is shifted to the left by

6

\newline

What is the equation of the new graph?

\newline

1

\newline

y=|x+6|-6

\newline

y=|x-6|-6

\newline

y=|x|-6

\newline

y=|x+6|

Posted 7 months ago

Question

y=|x|

is reflected across the

x

-axis and then scaled vertically by a factor of

\frac{1}{4}

\newline

What is the equation of the new graph?

\newline

1

\newline

y=-4|x|

\newline

y=|x|-4

\newline

y=-\frac{1}{4}|x|

\newline

y=|x-4|

Posted 8 months ago

Question

y=|x|

is shifted down by

9

\newline

What is the equation of the new graph?

\newline

1

\newline

y=|x|-9

\newline

y=|x+9|

\newline

y=|x|+9

\newline

y=|x-9|

Posted 10 months ago

Question

\begin{array}{l} y=\frac{1}{3} x+5 \\ y=2 x \end{array}

\newline

Consider the given system of equations. If

(x, y)

is the solution to the system, then what is the value of

y+x

Posted 3 months ago

Question

\frac{1}{3} x+3 y=4

\newline

2 x-4=2 y

\newline

Consider the given system of equations. If

(x, y)

is the solution to the system, then what is the value of

x-y

Posted 2 months ago

Question

You pick a card at random, put it back, and then pick another card at random.

\newline

4

\newline

5

\newline

6

\newline

7

\newline

What is the probability of picking a number greater than

5

and then picking a

4

\newline

Write your answer as a percentage.

Posted 1 month ago

Related topics

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