Question

graph the image of δfgh after a dilation with a scale factor of 5, centered at the origin.

Explanation:

Step1: Identify original coordinates

From graph: $F(-1,0)$, $G(-1,1)$, $H(1,2)$

Step2: Apply dilation rule

Multiply each coordinate by scale factor 5:
$F'(-1×5,0×5)=(-5,0)$
$G'(-1×5,1×5)=(-5,5)$
$H'(1×5,2×5)=(5,10)$

Step3: Plot new points

Graph $F'(-5,0)$, $G'(-5,5)$, $H'(5,10)$ and connect.

Answer:

The image $\triangle F'G'H'$ has vertices at $(-5,0)$, $(-5,5)$, and $(5,10)$ (plot these points to form the dilated triangle).