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Question

# Identify the parent function from the function rule. Describe the transformation of the parent function that given function represents. Use your graphing calculator to check your answers.g(x)=3 x

Solution

Verified

The given function is identified as Linear Function because $x$ has a power of 1.

The linear parent function $f(x)=x$ is pass through the points $(3,3)$.

The given linear function $g(x)=3x$ is pass through the points $(\textcolor{#c34632}{0.33}(3),3)$.

$(x,y)\rarr(\textcolor{#c34632}cx,y)$

Therefore, the linear function $g(x)=3x$ is represents horizontal compression of the linear parent function by the factor of $\bold{0.33}$. ## Recommended textbook solutions #### Algebra 2 Common Core

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