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The standard form of the equation of a parabola is y = 7x2 + 14x + 4.
What is the vertex form of the equation?
A. y = 7(x + 1)2-3
B. y= 7(x + 2)2-3
c. y= 7(x + 1)2 + 3
D. y= 7(x + 2)2 + 3
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User Warkaz
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1 Answer

1 vote

Answer:

A. y = 7(x + 1)²-3

Explanation:

Parabola:


y = 7x^(2) + 14x + 4


y = 7(x^(2) + 2x) + 4

Putting into vertex form, remember that:


(x + a)^(2) = x^(2) + 2ax + a^(2)

In this question:


x^(2) + 2x, to put into this format:


x^(2) + 2x + 1 = (x + 1)^(2)

We add one inside the parenthesis to do this. The parenthesis is multiplied by 7, so for the equivalent, we also have to subtract 7. Then

Vertex form:


y = 7(x^(2) + 2x + 1) + 4 - 7


y = 7(x + 1)^(2) - 3

So the correct answer is:

A. y = 7(x + 1)²-3

User Dalbergia
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