Question

for items 7-10, use the figure shown. find the coordinates of the specified vertex after the given sequence of transformations.
a translation 2 units right, then a reflection across x = 0
q = (\square, \square)

Explanation:

Step1: Find original coordinates of Q

From the graph, Q is at (1, 3).

Step2: Apply translation 2 units right

Translation rule: $(x,y)\to(x + 2,y)$. So Q becomes $(1+2,3)=(3,3)$.

Step3: Reflect across \(x = 0\) (y - axis)

Reflection rule over \(x = 0\): \((x,y)\to(-x,y)\). So (3, 3) becomes \((-3,3)\).

Answer:

\((-3, 3)\)