A teenger who is 5 feet tall throws an object

Susan Munoz

Susan Munoz

Answered question

2021-12-04

A teenger who is 5 feet tall throws an object into the air. The quadratic function f(x)=16x2+64x+5 is where f(x) is the height of the object in feet and x is the time in seconds.

Answer & Explanation

Kathleen Ashton

Kathleen Ashton

Beginner2021-12-05Added 15 answers

Step 1
Given that
f(x)=16x2+64x+5
now to complete the square of f(x)
f(x)=16(x24x516)
=16(x24x516+(2)2(2)2)
=16((x2)2516(2)2)
=16((x2)2516(2)2)
=16(x2)2+69
The function in vertex form is
f(x)=16(x2)2+69
The object hits the ground after bout f(x)=0
=16(x2)2+69=0
16(x2)2=69
(x2)2=6916
For (g(x))2=f(a) the solution are g(x)=f(a), f(a)
x=694+2, x=694+2

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