Question

Question 1 of 10

Answer 1

Answer:

A. y = 7(x + 1)²-3

Step-by-step 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