Question

2) A figure is graphed on the coordinate grid below. X 2 3 4 5 6 7 The figure is reflected across the y-axis to create a new figure. Which rule describes the transformation? (8.18, 8.10, 8.17) F(x,y) →(-x,y) G (x,y) → (x,-Y) H (x,y) → (-x,-») x,y) → (y,x)

Answer 1

$(x,\text{ y) }\rightarrow\text{ (-x, y) (option F)}$Explanation:

The coordinates of the shape:

(-7, 3), (-4, 1) and (-7, -6)

A reflection across the y axis negate the x axis. But the y axis remain the same.

The intial coordiante = (x, y)

The new coordinates based on the reflection = (-x, y)

This is written as:

$(x,\text{ y) }\rightarrow\text{ (-x, y) (option F)}$