Question

point a has coordinates (-3,4). if a is reflected across the y - axis, its image has coordinates a. if a is reflected across the x - axis, its image has coordinates b. if a is reflected across the line y = x, its image has coordinates c.

Explanation:

Step1: Reflect across y - axis

When reflecting a point $(x,y)$ across the $y$-axis, the rule is $(-x,y)$. Given point $A(-3,4)$, its image is $(3,4)$.

Step2: Reflect across x - axis

When reflecting a point $(x,y)$ across the $x$-axis, the rule is $(x, -y)$. Given point $A(-3,4)$, its image is $(-3,-4)$.

Step3: Reflect across the line $y = x$

When reflecting a point $(x,y)$ across the line $y = x$, the rule is $(y,x)$. Given point $A(-3,4)$, its image is $(4,-3)$.

Answer:

A. $(3,4)$
B. $(-3,-4)$
C. $(4,-3)$