Question

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reflect point c across the y-axis.

Explanation:

Step1: Find coordinates of point C

From the graph, point C is at (4, -8) since it's 4 units right on x - axis and 8 units down on y - axis.

Step2: Apply reflection over y - axis rule

The rule for reflecting a point \((x,y)\) over the y - axis is \((x,y)\to(-x,y)\). For point C(4, - 8), substituting \(x = 4\) and \(y=-8\) into the rule, we get \((-4,-8)\).

Answer:

The reflected point of C across the y - axis is \((-4,-8)\)