Rectangle hijk has vertices h(-3, 2), i(4, 2), j(4, -3), and k(-3, -3). what are the coordinates of the image of i after a dilation by a factor of 1.5 centered at the origin?
a. i’(3, 6)
b. i’(6, 3)
c. i’(6, 2)
d. i’(8, 4)

B.I’(6, 3)

Step-by-step explanation:

Multiply I(4, 2) by 1½:

2 × 1½ = 3

4 × 1½ = 6

So, your new coordinate is I'(6, 3).

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B. I’(6, 3)

Step-by-step explanation:

The coordinates (x,y) of a shape after dilation by a factor of k centered at the origin is given by :-

Given : Rectangle HIJK has vertices H(-3, 2), I(4, 2), J(4, -3), and K(-3, -3).

The coordinates of the image of I after a dilation by a factor of 1.5 centered at the origin will be :_

Hence, the coordinates of the image of I after a dilation by a factor of 1.5 centered at the origin =I’(6, 3)

2x^2+5x+17

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