Question

The height y (in feet) of a toss in bocce ball can be modeled by y=-x^2+4x, where x is the horizontal distance (in feet)

Interpret the x-intercepts of the graph of the equation.

How far does the bocce ball land on the ground?

Answer 1

The x-intercepts of the equation represent the points where the height of the toss is equal to 0. The bocce ball lands on the ground at a horizontal distance of 0 feet and 4 feet.

Step-by-step explanation:

The x-intercepts of the graph of the equation represent the points where the height of the toss is equal to 0.

In other words, these points represent the horizontal distance where the bocce ball lands on the ground.

o find the x-intercepts, we set y=0 and solve the equation:

0=-x^2+4x

x(x-4)=0

Therefore, the x-intercepts are x=0 and x=4.

This means that the bocce ball lands on the ground at a horizontal distance of 0 feet and 4 feet.

Answer 2

4 feet, the X-intercept tells us the value of X, aka how far the ball landed from 0