transformation of functions

Question

find g(x) where g(x) is the reflection across the y-axis of f(x)= -9x+2

Answer 1

-9x + 2 has slope -9 and y intercept 2

It's downward sloping, failry steep

the reflection around the y axis will go through the same y intercept but with an upward slop = 9, the negative slope of the original equation. Just change the sign of the slope -9 to +9

y =9x +2

Answer 2

Given:

transformation of functions

find g(x) where g(x) is the reflection across the y-axis of f(x) = -9x+2

Solution:

Change x into -x to flip the function about the y-axis.

g(x) = f(-x) = -9(-x)+2

g(x) = 9x+2