QuestionFind the new coordinates of points $A(-4,2)$ , $B(-7,-1)$ , and $C(0,1)$ after reflecting across the $x$ -axis.

Studdy Solution

STEP 1

Assumptions1. The original coordinates of point A are (-4,) . The original coordinates of point B are (-7,-1)
3. The original coordinates of point C are (0,1)
4. We are reflecting these points across the x-axis

STEP 2

The rule for reflecting a point across the x-axis is to change the sign of the y-coordinate. This is because the x-axis is the horizontal line where y =0, so when a point is reflected across this line, its y-coordinate changes sign but its x-coordinate stays the same.
$A' = (x, -y)$ $B' = (x, -y)$ $C' = (x, -y)$

STEP 3

Now, plug in the original coordinates of point A into the formula to find its new coordinates.
$A' = (-, -2)$

STEP 4

Next, plug in the original coordinates of point B into the formula to find its new coordinates.
$B' = (-7,1)$

STEP 5

Finally, plug in the original coordinates of point C into the formula to find its new coordinates.
$C' = (0, -1)$ The new coordinates of the points A, B, and C after reflecting them across the x-axis are A'(-4,-2), B'(-7,1), and C'(0,-1).

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