Question

part b rectangle pqrs is reflected across the y - axis and then translated down two units to create rectangle p double prime q double prime r double prime s double prime (not shown). what are the coordinates of q double prime? a negative six, zero b six, zero c negative six, negative four d six, seven

Explanation:

Step1: Recall reflection rule

When reflecting a point $(x,y)$ across the $y -$axis, the new point is $(-x,y)$.

Step2: Recall translation rule

When translating a point $(x,y)$ down by 2 units, the new point is $(x,y - 2)$.
Assume the original coordinates of point $Q$ are $(x_0,y_0)$. After reflection across the $y -$axis, the coordinates become $(-x_0,y_0)$. After translation down 2 units, the coordinates of $Q''$ are $(-x_0,y_0 - 2)$.
Let's assume the original coordinates of $Q$ are $(6,9)$ (by observing the grid - this is an assumption based on typical grid - reading in coordinate geometry). After reflection across the $y -$axis, the $x$ - coordinate changes sign and we get $(-6,9)$. After translating down 2 units ($y=y - 2$), we get $(-6,7)$.

Answer:

C. (-6,7)