QuestionGraph the reflection of the point $T(10,-2)$ over the $x$ -axis.

Studdy Solution

STEP 1

Assumptions1. The point to be reflected is $(10,-)$ . The reflection is over the $x$ -axis

STEP 2

The rule for reflecting a point over the $x$ -axis is to change the sign of the $y$ -coordinate while keeping the $x$ -coordinate the same. $'(x,y) =(x,-y)$

STEP 3

Now, plug in the coordinates of point $$ into the reflection rule.
$'(x,y) =(10,-(-2))$

STEP 4

Calculate the new $y$ -coordinate.
$'(x,y) =(10,2)$ The image of $(10,-2)$ after a reflection over the $x$ -axis is $'(10,2)$ .

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