Part 2 out of 2 What is the total Brandon pays for the radio?

He pays a total of $
for the radio.

Step-by-step explanation:Question does it have a number

Let's start with an alternative method. One of the things you could do is graph the given equations. I've done the first 2 equations for you
Red Parabola
The red one is y = x^2 + 6x + 8
It is showing the lowest point as y = (x +3)^2 - 1 Just read this by completing the square.
You can get this answer by either completing the square or calculus
Blue Parabola
The blue parabola has it's minimum as shown on the graph as (-4,-4)
So it looks like this
y = a(x + 4)^2 - 4 That's the bare outline of the solution.
This one you have no choice but to complete the square, unless of course you just want to point in to solve for a
y = 2(x^2 + 8x + )  + 28
y = 2(x^2 + 8x + (8/2)^2 ) + 28 - 2*16
y = 2(x + 4)^2 - 4

Graphing it has the advantage of giving you the answer right away. If you have to show work, then you have to complete the square, but at least you know what the answer should be. If you have a graphing calculator so much the better. The program I did this with is desmos.