Write A Quadratic Function In Vertex Form Worksheet With Answers - James Madison High School Page 2
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12Write a quadratic function in vertex form
– 10x + 22 in vertex form.
2
Write y = x
Then identify the vertex.
– 10x + 22
2
y = x
Write original function.
–10x +
2
y +
?
= (x
?
) + 22
Prepare to complete the square.
2
–10
– 10x + 25) + 22
( )
2
2
y +
25
= (x
Add
= 25 to each side.
= (–5)
2
y + 25 = (x – 5)
2
– 10x + 25 as a
+ 22
2
Write x
binomial squared.
y + 3 = (x – 5)
2
Write in vertex form.
ANSWER
The vertex form of the function is y + 3 = (x – 5)
2
.
The vertex is (5, –3).
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