Reflections About the Origin Quick Check

Question

2 of 52 of 5 Items

Question
Which of the following is the vertex of y=−f(−x) if the original function has a vertex of (−9,−8)
?(1 point)
Responses

(−9,8)
left parenthesis negative 9 comma 8 right parenthesis

(−9,−8)
left parenthesis negative 9 comma negative 8 right parenthesis

(9,−8)
left parenthesis 9 comma negative 8 right parenthesis

(9,8)
left parenthesis 9 comma 8 right parenthesis

Answer 1

The correct answer is (−9,−8) - left parenthesis negative 9 comma negative 8 right parenthesis.

This is because when we reflect the function y = f(x) about the y-axis in the equation y = −f(−x), the x-coordinate remains the same, but the y-coordinate changes sign. In this case, the original vertex is (-9,-8), so when we reflect it, the y-coordinate changes sign to become (−9,−8).