Question

Ming throws a stone off a bridge into a river below. The stone's height (in meters above the water), xxx seconds after Ming threw it, is modeled by: h(x)=-5(x-1)^2+45h(x)=?5(x?1) 2 +45h, left parenthesis, x, right parenthesis, equals, minus, 5, left parenthesis, x, minus, 1, right parenthesis, start superscript, 2, end superscript, plus, 45 What is the maximum height that the stone will reach?

Answer 1

45 meters

Explanation:

The answer, 45 meters, is only correct if the question says "What is the maximum height that the stone will reach?" If the quesiton is not that then the answer will be wrong. So, please read the question otherwise this answer will be wrong!

Answer 2

45 m

Explanation:

Given

Function to produce the stone's height

• h(x)= -5(x-1)^2+45

Maximum value the given function can get is at (x - 1) = 0 ⇒ x = 1

because the -5(x - 1)² can get maximum value of zero as the square of any number is zero or positive

So maximum height is

• h(-1) = 45 m