Question

Let f(x)=−3x. The graph of f(x)​ is transformed into the graph of g(x) by a vertical stretch of 4 units and a translation of 4 units right.

What is the equation for g(x)?



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g(x)=

Answer 1

g(x) = -12x + 48

Explanation:

Given function:

`f(x)=-3x`

To transform a function by a vertical stretch of 4 units, multiply the function by the scale factor.

To translate a function to the right by 4 units, subtract 4 from the x-value of the function.

Therefore, the equation for g(x) is:

`\begin{aligned}\implies g(x)&=4f(x-4)\\&=4 \cdot -3(x-4)\\&=-12(x-4)\\&=-12x+48\end{aligned}`