The coordinates of point a on a coordinate grid are (−2, −3). point a is reflected across the y-axis to obtain point b and across the x-axis to obtain point c. what are the coordinates of points b and c?

ANSWER

EXPLANATION

The given point has coordinates A(-2,-3).

The rule for the reflection across the y-axis is

We apply this rule to obtain the coordinates of B.

Simplify the coordinates of B to get:

The rule for reflection across the x-axis is

When the point A(-2,-3) is reflected across the x-axis to obtain C, then the coordinates of C are:

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)