Question

spiral review
figure qrst is graphed on a coordinate plane.
determine the coordinates of the image qrst after the figure is reflected across the y - axis.
use the coordinate plane if it helps with your thinking.
pre - image coordinates | image coordinates
q (3, -15) |
r (-6, 12) |
s (0, 9) |
t (-4, -3) |

Explanation:

Step1: Recall reflection over y-axis rule

The rule for reflecting a point \((x, y)\) across the \(y\)-axis is \((x, y) \to (-x, y)\).

Step2: Reflect point Q(3, -15)

Apply the rule: \(x = 3\) becomes \(-3\), \(y = -15\) remains. So \(Q'(-3, -15)\).

Step3: Reflect point R(-6, 12)

Apply the rule: \(x = -6\) becomes \(6\), \(y = 12\) remains. So \(R'(6, 12)\).

Step4: Reflect point S(0, 9)

Apply the rule: \(x = 0\) becomes \(0\), \(y = 9\) remains. So \(S'(0, 9)\).

Step5: Reflect point T(-4, -3)

Apply the rule: \(x = -4\) becomes \(4\), \(y = -3\) remains. So \(T'(4, -3)\).

Answer:

• \(Q'\): \((-3, -15)\)
• \(R'\): \((6, 12)\)
• \(S'\): \((0, 9)\)
• \(T'\): \((4, -3)\)