# Question #5f4a4

##### 1 Answer

Oct 4, 2017

The vertex form is

#### Explanation:

You should start by completing the square.

#y = 4(x^2 + 6x + n - n)#

The value of

#n = (6/2)^2 = 9#

Therefore:

#y = 4(x^2 + 6x + 9 - 9)#

#y = 4(x^2 + 6x + 9) - 9(4)#

#y = 4(x + 3)^2 - 36#

The vertex of a quadratic of the form

The graph of the parabola confirms.

graph{4x^2 + 24x [-103.2, 103.2, -51.6, 51.6]}

Hopefully this helps!