Question

Instructions: Use the given information to answer thequestions and interpret key features. Use any method ofgraphing or solving. Round to one decimal place, ifnecessary.The trajectory of a golf ball in a chip from the rough has aparabolic pattern. The height, in feet, of the ball is given bythe equation h(x) = -.25x² + 3.4x, where is thenumber of feet away from the golf club (along the ground)the ball is.The ball startsfeet above the ground.The ball reaches a+feet at a horizontal distance ofthe golf club it was hit with.The ball returns to the ground at aboutaway.height offeet away fromfeet

Answer 1

we have the equation

`h(x)=-0.25x^2+3.4x`

For x=0 -------> h(x)=0

so

The ball starts 0 feet above the ground

The equation represents a vertical parabola open downward

The vertex represents a maximum

Find out the vertex

Using a graphing tool

The vertex is the point (6.8,11.56)

so

The ball reaches a maximum height of 11.6 feet at a horizontal distance of 6.8 feet away from the golf club

The ball returns to the ground at about 13.6 feet away