How do you write y=x^2+16x+14 in vertex form?

compagnia04 2021-12-16 Answered
How do you write y=x2+16x+14 in vertex form?
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Expert Answer

Jordan Mitchell
Answered 2021-12-17 Author has 31 answers
By completing the square:
y=x2+16x+(162)2(162)2+14
y=(x+8)264+14
y=(x+8)250
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vicki331g8
Answered 2021-12-18 Author has 37 answers
Complete the square for x2+16x+14
Use the form ax2+bx+c, to find the values of a,b, and c.
Consider the vertex form of a parabola.
a(x+d)2+e
Substitute the values of a and b into the formula d=b2a
d=162(1)
Cancel the common factor of 16 and 2.
d=8
Find the value of e using the formula e=cb24a
e=50
Substitute the values of a,d and e into the vertex form a(x+d)2+e
(x+8)250
Set y equal to the new right side.
y=(x+8)250
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