The height of a fountain’s water stream can be modeled by a quadratic function. suppose the water from a jet reaches a maximum height of 8 feet at a distance 1 foot away from the jet. if the water lands 3 feet away from the jet, find a quadratic function that models the height h(d) of the water at any given distance d feet from the jet.

h(d)= -2d^2 +4d +6

Step-by-step explanation:

Vertex (1,8)

Landing Point (3,0)

Applying the vertex formula, a quadratic equation can be described by its vertex v(x,y) as follows:

Since the vertex in this situation is at v (1,8):

To solve for 'a', apply the other given point (landing point) into the equation:

Expanding the equation yields:

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

is for x = 0. substitute:

y-intercept is 8 → point (0, 8).