Write A Quadratic Function In Vertex Form Worksheet With Answers - James Madison High School Page 4
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12Find the maximum value of a quadratic function
y = –16t
2
+ 96t +3
Write original function.
y = –16(t
– 6t) +3
Factor –16 from first two terms.
2
y +(–16)(?) = –16(t
–6t +
2
?
) + 3
Prepare to complete the square.
y +(–16)(9) = –16(t
– 6t +
2
9
) + 3
(–16)(9)
Add
to each side.
y – 144 = –16(t – 3)
2
– 6t + 9 as a
+ 3
2
Write t
binomial squared.
y – 147 = –16(t – 3)
2
Vertex Form
ANSWER
The vertex is (3, 147), so the maximum height of the
baseball is 147 feet.
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