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

Answer:

45 m

Step-by-step 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