Question

quiz: transformations
if △abc is reflected across the y - axis, what are the coordinates of a?
a. (-5, -3)
b. (-2, 5)
c. (2, 5)
d. (-2, -5)

Explanation:

Step1: Find the coordinates of point \(A\)

From the graph, the coordinates of point \(A\) are \((5,-3)\)

Step2: Apply the reflection rule across the \(y\) - axis

The rule for reflecting a point \((x,y)\) across the \(y\) - axis is \((x,y)\to(-x,y)\).
For point \(A(5, - 3)\), when \(x = 5\) and \(y=-3\), after reflection \(x\) becomes \(-x=-5\) and \(y\) remains \(-3\). So the coordinates of \(A'\) are \((-5,-3)\)

Answer:

A. \((-5, -3)\)