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)? Enter your answer in the box.g(x)=

Answer 1

$g(x)\text{ = -12(x + 4)}$

Explanation:$f(x)\text{ = -3x}$$\begin{gathered} \text{Translation to the right:} \\ \text{unit = 4} \\ f(x)\text{ = -3(x - 4)} \end{gathered}$$\begin{gathered} vertical\text{ stretch of 4 units: } \\ \text{Multiply f(x) by 4} \\ g(x)\text{ = 4(f(x)} \\ g(x)\text{ = 4(-3(x + 4))} \\ g(x)\text{ = -12(x + 4)} \end{gathered}$