Find the vertex:

Determine if the parabola will open up or down:

Since the value of a is positive, the parabola will open upwards
Find the x and y intercepts:
Factor
to find the x intercepts
(x+8)(x+2)
x + 8 = 0
x = -8
x + 2 = 0
x = -2
x intercepts:
x = -2
x = -8
Find the y intercept

Hence, C. Graph A best represents the quadratic function 
Answer:
$15
Step-by-step explanation:
60x75%
60x0.75
45
60-45=15
This looks like a simple arithmetic series. Each term is 7 greater than the previous term.
Therefore, the Nth term is 17 + 7N.
For example, the first term is 17 + 7*1 = 17 + 7 = 24.
The second term is 17 + 7*2 = 17 + 14 = 31
etc...
And the 500th term is 17 + 7 * 500 = 17 + 3500 = 3517
Answer:
See below for proof.
Step-by-step explanation:
<u>Given</u>:

<u>First derivative</u>

<u />
<u />
<u />

<u>Second derivative</u>
<u />







<u>Proof</u>



![= \left(x+\sqrt{1+x^2}\right)^m\left[m^2-\dfrac{mx}{\sqrt{1+x^2}}+\dfrac{mx}{\sqrt{1+x^2}}-m^2\right]](https://tex.z-dn.net/?f=%3D%20%5Cleft%28x%2B%5Csqrt%7B1%2Bx%5E2%7D%5Cright%29%5Em%5Cleft%5Bm%5E2-%5Cdfrac%7Bmx%7D%7B%5Csqrt%7B1%2Bx%5E2%7D%7D%2B%5Cdfrac%7Bmx%7D%7B%5Csqrt%7B1%2Bx%5E2%7D%7D-m%5E2%5Cright%5D)
![= \left(x+\sqrt{1+x^2}\right)^m\left[0]](https://tex.z-dn.net/?f=%3D%20%5Cleft%28x%2B%5Csqrt%7B1%2Bx%5E2%7D%5Cright%29%5Em%5Cleft%5B0%5D)
