Answer:
The graph in the attached figure
Step-by-step explanation:
we know that
The equation of a vertical parabola in vertex form is equal to
![y=a(x-h)^{2}+k](https://tex.z-dn.net/?f=y%3Da%28x-h%29%5E%7B2%7D%2Bk)
where
a is a coefficient
(h,k) is the vertex
In this problem we have
(h,k)=(1,-4)
substitute
![y=a(x-1)^{2}-4](https://tex.z-dn.net/?f=y%3Da%28x-1%29%5E%7B2%7D-4)
we have
An x-intercept of (-1,0)
substitute and solve for a
![0=a(-1-1)^{2}-4](https://tex.z-dn.net/?f=0%3Da%28-1-1%29%5E%7B2%7D-4)
![0=4a-4](https://tex.z-dn.net/?f=0%3D4a-4)
![4a=4](https://tex.z-dn.net/?f=4a%3D4)
![a=1](https://tex.z-dn.net/?f=a%3D1)
The equation is
![y=(x-1)^{2}-4](https://tex.z-dn.net/?f=y%3D%28x-1%29%5E%7B2%7D-4)
<u><em>Verify the y-intercept</em></u>
For x=0
![y=(0-1)^{2}-4](https://tex.z-dn.net/?f=y%3D%280-1%29%5E%7B2%7D-4)
![y=-3](https://tex.z-dn.net/?f=y%3D-3)
The y-intercept is the point (0,-3) -----> is correct
using a graphing tool
see the attached figure
Answer:
n=14/9
Step-by-step explanation:
3/4n+2/3=11/6
3/4n=11/6-2/3
3/4n=11/6-4/6
3/4n=7/6
n=(7/6)/(3/4)
n=(7/6)(4/3)
n=28/18
simplify
n=14/9
Answer:
The average rate of change for the function over the given integral
![A(x) = \frac{e^{-2} -1}{2}](https://tex.z-dn.net/?f=A%28x%29%20%3D%20%5Cfrac%7Be%5E%7B-2%7D%20-1%7D%7B2%7D)
Step-by-step explanation:
Explanation
<u>Average rate of a functio</u>n:-
<u>We can define the average rate of change of a function from a to b</u>
<u></u>
![A(x) = \frac{f(b)-f(a)}{b-a}](https://tex.z-dn.net/?f=A%28x%29%20%3D%20%5Cfrac%7Bf%28b%29-f%28a%29%7D%7Bb-a%7D)
Given function f(x) = eˣ
Given interval x = a = -2 and y = b = 0
f(a) = f(-2) = e⁻²
f(b) = f(0) = e⁰
![A(x) = \frac{e^{-2} -1}{0-(-2)}](https://tex.z-dn.net/?f=A%28x%29%20%3D%20%5Cfrac%7Be%5E%7B-2%7D%20-1%7D%7B0-%28-2%29%7D)
The average rate of change for the function over the given integral
We need numbers to help us solve it
I believe its c, sorry if im wrong.