To find the reflection of the function f(x) = -2(x-10)^2 - 9 across the y-axis, we replace x with -x in the function.

Step 1: Write down the function f(x) = -2(x-10)^2 - 9.

Step 2: Replace every x in the function with -x. This gives us f(-x) = -2(-x-10)^2 - 9.

Step 3: Simplify the function.

First, distribute the negative sign inside the parentheses to get -2((-x)-10)^2 - 9 = -2(x+10)^2 - 9.

This is the function g(x), which is the reflection of f(x) across the y-axis. So, g(x) = -2(x+10)^2 - 9.

Question

To find the reflection of the function f(x) = -2(x-10)^2 - 9 across the y-axis, we replace x with -x in the function.

Step 1: Write down the function f(x) = -2(x-10)^2 - 9.

Step 2: Replace every x in the function with -x. This gives us f(-x) = -2(-x-10)^2 - 9.

Step 3: Simplify the function.

First, distribute the negative sign inside the parentheses to get -2((-x)-10)^2 - 9 = -2(x+10)^2 - 9.

This is the function g(x), which is the reflection of f(x) across the y-axis. So, g(x) = -2(x+10)^2 - 9.

Knowee AI · Accepted Answer

To find the reflection of the function f(x) = -2(x-10)^2 - 9 across the y-axis, we replace x with -x in the function.

Step 1: Write down the function f(x) = -2(x-10)^2 - 9.

Step 2: Replace every x in the function with -x. This gives us f(-x) = -2(-x-10)^2 - 9.

Step 3: Simplify the function.

First, distribute the negative sign inside the parentheses to get -2((-x)-10)^2 - 9 = -2(x+10)^2 - 9.

This is the function g(x), which is the reflection of f(x) across the y-axis. So, g(x) = -2(x+10)^2 - 9.

Find g(x), where g(x) is the reflection across the y-axis of f(x)=–2(x–10)2–9.