Question

Use the parent function f(x) and the description of the transformation to write the new function g (x) Rotate the graph f(x) = - 4x + 5 until it has the same steepness in the opposite direction. This represents reflecting the graph across the y-axis. Therefore the new function is g(x) = What is the answer

Answer 1

Given:

The given function is, f (x) = -4x + 5.

The objective is to reflect the graph across the y - axis and find the new function.

Step-by-step explanation:

The general transformation formula for reflection over y-axis is,

`g(x)=f(-x)`

To find f(-x):

The required transformation can be calculated as,

`\begin{gathered} g(x)=f(-x) \\ g(x)=-4\mleft(-x\mright)+5 \\ g(x)=4x+5 \end{gathered}`

Hence, the new function is g(x) = 4x + 5.