Find g(x), where g(x) is the reflection across the y-axis of f(x)=–8(x+9)2+4.
Question
Find g(x), where g(x) is the reflection across the y-axis of f(x)=–8(x+9)2+4.
Solution
To find the reflection of the function f(x) = -8(x+9)^2 + 4 across the y-axis, we replace x with -x in the function.
Step 1: Write down the function f(x) = -8(x+9)^2 + 4.
Step 2: Replace every x in the function with -x.
This gives us f(-x) = -8(-x+9)^2 + 4.
Step 3: Simplify the function.
This gives us g(x) = -8(x-9)^2 + 4.
So, the reflection of the function f(x) = -8(x+9)^2 + 4 across the y-axis is g(x) = -8(x-9)^2 + 4.
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