SOLUTION: Please Help Me! 1. The path of a ball thrown into the air from a height of 3 feet is given by y=-1/8x^2+x+3, where y is the height of the ball in feet at the horizontal distance

Question 311192: Please Help Me!
1. The path of a ball thrown into the air from a height of 3 feet is given by y=-1/8x^2+x+3, where y is the height of the ball in feet at the horizontal distance of x feet from the thrower.
a. How high is the ball at its maximum height?
b. estimate the horizontal distance the ball traveled before hitting the ground.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
1. The path of a ball thrown into the air from a height of 3 feet is given by
y = x^2 + x + 3, where y is the height of the ball in feet at the
horizontal distance of x feet from the thrower.
:
a. How high is the ball at its maximum height?
Find the axis of symmetry; x=-b/(2a). In this equation: a=-1/8, b=1
x =
x =
x =
x = +4
Substitute 4 for x in the original equation to find the max height
y = -(4^2) + 1(4) + 3
y = -(16) + 1(4) + 3
y = -2 + 4 + 3
y = 5
:
Looks like this:

You can see y = 5 (max) when x=4
:
b. estimate the horizontal distance the ball traveled before hitting the ground.
Looks like slightly over 10 ft, doesn't it.
RELATED QUESTIONS
Suppose a ball thrown into the air has its height (in feet) given by the function h(t) (answered by solver91311)

The height y (in feet) of a ball thrown by a child is given by the equation y=... (answered by fractalier)

A ball was throw into the air. It path was given by y=2-5t�+28t where y is the height in... (answered by Alan3354)

Please help me. Show all work. The height y (in feet) of a ball thrown by a child is (answered by ankor@dixie-net.com)

The height y (in feet) of a ball thrown by a child is y=-\frac{1}{16}x^2 + 6 x + 3... (answered by Alan3354)

An object is thrown in the air. The trajectory of the object us represented by the... (answered by Alan3354)

A ball is thrown straight upin the air from a height of 6 feet at a speed of 80 feet per... (answered by jerryguo41)

Please help and show all work. Thanks The height y (in feet) of a ball thrown by a... (answered by Alan3354)

The height (t) in feet above the ground, of a ball thrown into the air from the top of a... (answered by Alan3354)