Question

activator: reflecting points
use the coordinate plane to answer each question.
a. point f is a reflection of point a across the y-axis.
what are the coordinates for point f?
b. point g is a reflection of point a across the x-axis.
what are the coordinates for point g?
across both the x-axis

Explanation:

Part a

Step1: Find coordinates of A

From the graph, point A is at $(-4, 2)$.

Step2: Reflect over y - axis

When reflecting a point $(x,y)$ over the y - axis, the rule is $(x,y)\to(-x,y)$. So for $A(-4,2)$, $x=-4$, so $-x = 4$, $y = 2$. So point F has coordinates $(4,2)$.

Step1: Recall coordinates of A

Point A is at $(-4, 2)$.

Step2: Reflect over x - axis

When reflecting a point $(x,y)$ over the x - axis, the rule is $(x,y)\to(x,-y)$. For $A(-4,2)$, $x=-4$, $y = 2$, so $-y=-2$. So point G has coordinates $(-4,-2)$.

Answer:

$(4, 2)$

Part b