Question

graph the image of u(7, 0) after a reflection over the line y = 4.

Explanation:

Step1: Recall reflection rule

For a point $(x,y)$ reflected over the line $y = k$, the new - point $(x,y')$ has the formula $y'=2k - y$. Here $x = 7$, $y = 0$ and $k = 4$.

Step2: Calculate new y - coordinate

Substitute the values into the formula: $y'=2\times4-0$.
$y' = 8$.
The x - coordinate remains the same during a reflection over a horizontal line. So the new point is $(7,8)$.

Answer:

The image of the point $U(7,0)$ after reflection over the line $y = 4$ is $(7,8)$.