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Express the function y = 2x 2 + 8x + 1 in vertex form.

User Karthick V
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- Use the form a x ^2 + b x + c , to find the values of a , b , and c .

a = 2 ,b = − 8 , c = 1

- Consider the vertex form of a parabola.

a ( x + d ) ^2 + e

- Find the value of d using the formula d = b /2a .

d=-2

- Find the value of e using the formula e =c − b ^2 4 a .

e = − 7

- Substitute the values of a , d , and e into the vertex form a ( x + d ) 2 + e .

2 ( x − 2 ) ^2 − 7

- Ouma

User Akash Pal
by
7.5k points

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