Question

complete this assessment to review what youve learned. it will not count toward your grade. use the image to answer the question. x = -2 y = 5 q(-4,3) what are the coordinates of point q after it is reflected across the line x = - 2?

Explanation:

Step1: Recall reflection formula

For a point $(x,y)$ reflected across the line $x = a$, the new $x$-coordinate is $2a - x$ and the $y$-coordinate remains the same. Here $a=-2$ and the point is $Q(-4,3)$.

Step2: Calculate new x - coordinate

Substitute $x=-4$ and $a = - 2$ into the formula $x'=2a - x$. So $x'=2\times(-2)-(-4)=-4 + 4=0$.

Step3: Determine new y - coordinate

The $y$-coordinate remains unchanged. So $y' = 3$.

Answer:

$(0,3)$