The graph of y=|x| is scaled vertically by a factor of (1)/(5). What is the equation of the new graph? Choose 1 answer: (A) y=(1)/(5)|x| (B) y=-5|x| (C) y=|x+5| (D) y=|x-5|

Understanding vertical scaling: To determine the equation of the new graph, we need to understand what it means to scale a graph vertically by a factor of (1)/(5). Scaling a graph vertically by a factor of (1)/(5) means that every y-value of the original graph is multiplied by (1)/(5).Scaling the original equation: The original equation is y = |x|. To scale this graph vertically by a factor of (1)/(5), we multiply the entire right-hand side of the equation by (1)/(5). This gives us the new equation y = (1)/(5)|x|.Checking the answer choices: Now we need to check the answer choices to see which one matches our new equation. The correct answer choice should be y = (1)/(5)|x|.Matching the new equation: Looking at the answer choices, we see that choice (A) y = (1)/(5)|x| matches the equation we derived for the new graph.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

The graph of
y=|x| is scaled vertically by a factor of
(1)/(5).
What is the equation of the new graph?
Choose 1 answer:
(A)
y=(1)/(5)|x|
(B)
y=-5|x|
(C)
y=|x+5|
(D)
y=|x-5|

The graph of $y=|x|$ is scaled vertically by a factor of $\frac{1}{5}$ . $\newline$ What is the equation of the new graph? $\newline$ Choose $1$ answer: $\newline$ (A) $y=\frac{1}{5}|x|$ $\newline$ (B) $y=-5|x|$ $\newline$ (C) $y=|x+5|$ $\newline$ (D) $y=|x-5|$

View step-by-step help

Home

Math Problems

Algebra 2

Domain and range of absolute value functions: equations

Full solution

Q. The graph of

y=|x|

is scaled vertically by a factor of

\frac{1}{5}

\newline

What is the equation of the new graph?

\newline

Choose

1

answer:

\newline

(A)

y=\frac{1}{5}|x|

\newline

(B)

y=-5|x|

\newline

(C)

y=|x+5|

\newline

(D)

y=|x-5|

Understanding vertical scaling: To determine the equation of the new graph, we need to understand what it means to scale a graph vertically by a factor of $(1)/(5)$ . Scaling a graph vertically by a factor of $(1)/(5)$ means that every $y$ -value of the original graph is multiplied by $(1)/(5)$ .
Scaling the original equation: The original equation is $y = |x|$ . To scale this graph vertically by a factor of $(1)/(5)$ , we multiply the entire right-hand side of the equation by $(1)/(5)$ . This gives us the new equation $y = \frac{1}{5}|x|$ .
Checking the answer choices: Now we need to check the answer choices to see which one matches our new equation. The correct answer choice should be $y = \frac{1}{5}|x|$ .
Matching the new equation: Looking at the answer choices, we see that choice (A) $y = \frac{1}{5}|x|$ matches the equation we derived for the new graph.