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The graph of
y=|x| is scaled vertically by a factor of
(7)/(2).
What is the equation of the new graph?
Choose 1 answer:
(A)
y=-(2)/(7)|x|
(B)
y=-(7)/(2)|x|
(c)
y=(2)/(7)|x|
(D)
y=(7)/(2)|x|

The graph of $y=|x|$ is scaled vertically by a factor of $\frac{7}{2}$ . $\newline$ What is the equation of the new graph? $\newline$ Choose $1$ answer: $\newline$ (A) $y=-\frac{2}{7}|x|$ $\newline$ (B) $y=-\frac{7}{2}|x|$ $\newline$ (C) $y=\frac{2}{7}|x|$ $\newline$ (D) $y=\frac{7}{2}|x|$

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Domain and range of absolute value functions: equations

Full solution

Q. The graph of

y=|x|

is scaled vertically by a factor of

\frac{7}{2}

.

\newline

What is the equation of the new graph?

\newline

Choose

1

answer:

\newline

(A)

y=-\frac{2}{7}|x|

\newline

(B)

y=-\frac{7}{2}|x|

\newline

(C)

y=\frac{2}{7}|x|

\newline

(D)

y=\frac{7}{2}|x|

Identify vertical scaling effect: : Identify the effect of vertical scaling on the function. $\newline$ When a function $y = f(x)$ is scaled vertically by a factor of $a$ , the new function becomes $y = a \cdot f(x)$ . In this case, $f(x) = |x|$ and the scaling factor is $\frac{7}{2}$ .
Apply vertical scaling factor: : Apply the vertical scaling factor to the original function. $\newline$ The new function after scaling will be $y = \frac{7}{2} \cdot |x|$ .
Match new function to choices: : Match the new function to the given choices. $\newline$ The new function $y = \frac{7}{2} \cdot |x|$ corresponds to choice (D) $y=\frac{7}{2}|x|$ .

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