Question

what is the pre-image of vertex a if the image shown on the graph was created by a reflection across the y-axis? (-8, -6) (-6, 8) (8, 6) (6, -8)

Explanation:

Step1: Find coordinates of \( A' \)

From the graph, \( A' \) has coordinates \( (6, 8) \) (since it's 6 units right on x - axis and 8 units up on y - axis).

Step2: Apply reflection over y - axis rule

The rule for reflection across the \( y \) - axis is \( (x,y)\to(-x,y) \). For \( A'(6,8) \), applying the rule: \( x = 6\to - 6 \), \( y = 8\) remains the same. So the pre - image of \( A' \) is \( (-6,8) \).

Answer:

\( \boldsymbol{(-6, 8)} \) (corresponding to the option \(\boldsymbol{(-6, 8)}\))