Line segmentAB has vertices A(−3, 4) and B(1, −2). A dilation, centered at the origin, is applied to AB⎯⎯⎯⎯⎯. The image has vertices A′(−1, 43) and B′(13, −23).

B: 1/3

Step-by-step explanation:

It seems the coordinates given are incorrect.

It should read:

A'(-1, 4/3), B'(1/3, -2/3)

This reflects the rule:

(x, y) → (1/3x, 1/3y)

Correct choice is B

B: 1/3

Step-by-step explanation:

(x,y) = (1/3x,1/3y)

When the ball hit the ground, the height of the ball will be zero. So using the value of h(x) as zero in the given equation, we can find the time in which the ball will hit the ground.

0 = -(x-2)^2 + 16

(x-2)^2 = 16

x-2 = 16

x-2 = 4

x = 6

This means the ball will hit the ground 6 seconds after Amir threw it.