The standard form of the equation of a parabola is v=7x^2+14x+4

complete the squaer

gropu x terms
y=(7x²+14x)+4
factor out quadratic coefient
y=7(x²+2x)+4
take 1/2 of the linear coefieint and squaer it
2/2=1, (1)²=1
add positive and negiatve of it inside parnthaees
y=7(x²+2x+1-1)+4
factor perefect square trinomial
y=7((x+1)²-1)+4
distribute
y=7(x+1)²-7+4
y=7(x+1)²-3

answer is C

Answer Link

jainveenamrata jainveenamrata · Answer 2 · 2022-07-28T14:40:48+02:00

The standard form of the equation will be y = 7(x + 1)² – 3. Then the correct option is C.

What is the parabola?

The equation of a quadratic function, of vertex (h, k), is given by:

y = a(x – h)² + k

where a is the leading coefficient.

The equation is given below.

y = 7x² + 14x + 4

Convert the equation into standard form.

y = 7(x² + 2x) + 4

y = 7(x² + 2x + 1) – 7 + 4

y = 7(x + 1)² – 3

Then the correct option is C.

More about the parabola link is given below.

https://brainly.com/question/8495504

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