Question

1. the vertices of $\triangle fgh$ are $f(-2, -6)$, $g(3, 0)$, and $h(1, -4)$. translate $\triangle fgh$ using the vector $\langle -2, 7 \

angle$. graph $\triangle fgh$ and its image.

Explanation:

Step1: Apply translation to F

Add vector components to F's coordinates: $(-2-2, -6+7)=(-4,1)$

Step2: Apply translation to G

Add vector components to G's coordinates: $(3-2, 0+7)=(1,7)$

Step3: Apply translation to H

Add vector components to H's coordinates: $(1-2, -4+7)=(-1,3)$

Answer:

Original vertices: $F(-2,-6)$, $G(3,0)$, $H(1,-4)$
Image vertices: $F'(-4,1)$, $G'(1,7)$, $H'(-1,3)$

To graph: Plot original points and connect them; plot image points and connect them. (Graphing requires coordinate plane visualization: original triangle with F in lower left, G in upper right, H in middle left; image shifted left 2 and up 7.)