## Related questions with answers

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

VerifiedAnswered 2 years ago

Answered 2 years ago

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** $\bold{0.33}$.

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