Question

A certain water feature at a splash pad sprays water from a hole in the ground in the form of a parabola that can be expressed by the equation y=−34(x−2)2+3
. Solve as if you were to graph the equation. At which point would the water hit the ground?(1 point)
Responses

(4,0)
left parenthesis 4 comma 0 right parenthesis

(2,3)
left parenthesis 2 comma 3 right parenthesis

(3,0)
left parenthesis 3 comma 0 right parenthesis

(0,4)

Answer 1

(4, 0)

Work: Set y = 0. 0 = -3/4(x−2)^2 + 3 ⇒ -3 = -3/4(x−2)^2 ⇒ (x−2)^2 = 4 ⇒ x−2 = ±2 ⇒ x = 0 or 4. The water hits the ground at (4,0) (and also at (0,0)).