Question

Graph the image of this figure after a dilation with a scale factor of 3 centered at the origin.

Answer 1

Answer:

Given: scale factor k = 3

The coordinate of the given figure is:

(-2 , -1) , (1, -1) , (1, -3) and (-2, -3)

The rule of dilation with scale factor k centered at the origin:-

$(x, y) \rightarrow (kx , ky)$  

now, the coordinates of the image of the figure after dilation is:

$(-2, -1) \rightarrow (3\cdot -2 , 3 \cdot -1)$ = (-6 , -3)

$(1, -1) \rightarrow (3\cdot 1 , 3 \cdot -1)$ = (3 , -3)

$(1, -3) \rightarrow (3\cdot 1 , 3 \cdot -3)$ = (3 , -9) and

$(-2, -3) \rightarrow (3\cdot -2 , 3 \cdot -3)$ = (-6 , -9)

You can see the image as shown below in the figure.