Well, to find the vertex of a quadratic, we have a few options. we can either complete the square, or solve for the x value of the vertex using a nifty equation. I'm gonna go that route, but if your interested in the complete the square thing I can show you.
Anyway, the x value of a vertex equals
x = -b/2a
assuming
f (x) = ax^2 + bx + c.
so b is the coefficient in front of just x and a the coefficient in front of x^2 and so on. let's solve for x in your problem.
y = 4x^2 + bx + c
so, our x value has to be
x = -b/2 (4) right? so how do we solve for b, which is what we wanna know, from that? well, we KNOW the x value is supposed to be -7 in this case. so that means...
-7 = -b/2 (4) now just solve for b.
b = 56 if you need the work I can show you in comments.
Anyway, now we know b. how do we solve for c? well, let's fill in our old equation with our new info.
y = 4x^2 + 56x + c
what do we know? well, we know the vertex of this line is (-7,6). what does this tell us? well, the vertex is a point on our line, so that means I could plug in my point, right?
6 = 4 (-7)^2 + 56 (-7) + c
if (-7,6) is a point on my line, ^^^ that will be true. now all you gotta do is solve for c. if you need the work, I can show ya in the comments.
c = -196
hope this helps!
Break the parking lot into different polygons that you can easily find the area of. Then find the add all the areas of the diagram and multiply by 75 to get the amount of money needed.
As the front approaches, you will have a storm.
I hope this helps!
The factors of 83 our 1 and 83. So does that make it a prime number? Answer: Yes