Answers:
- Vertex form: y = -2(x-1)^2 + 8
- Standard form: y = -2x^2 + 4x + 6
Pick whichever form you prefer.
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Explanation:
The vertex is the highest point in this case, which is located at (1,8).
In general, the vertex is (h,k). So we have h = 1 and k = 8.
One root of this parabola is (-1,0). So we'll plug x = -1 and y = 0 in as well. As an alternative, you can go for (x,y) = (3,0) instead.
Plug those four values mentioned into the equation below. Solve for 'a'.
y = a(x-h)^2 + k
0 = a(-1-1)^2+8
0 = a(-2)^2+8
0 = 4a+8
4a+8 = 0
4a = -8
a = -8/4
a = -2
The vertex form of this parabola is y = -2(x-1)^2+8
Expanding that out gets us the following
y = -2(x-1)^2+8
y = -2(x^2-2x+1)+8
y = -2x^2+4x-2+8
y = -2x^2+4x+6 .... equation in standard form
Answer:
E (-2, 4).
Step-by-step explanation:
(x/2 + 1)(x/2 - 2) = 0
x/2 = -1, x/2 = 2
x = -2, 4.
The roots will be 2 times the roots of f(x).
The answer would be 17n+6.
<h2>
Answer:</h2><h3>False</h3><h2>
Step-by-step explanation:</h2>
The inverse is not a function because this function is not one-to-one, that is, a function 
has an inverse function if and only if there is no any horizontal line that intersects the graph of at more than one point, this is called the Horizontal Line Test for Inverse Functions. Thus, if you take an horizontal line it will pass through two points as indicated in the figure below. In conclusion, this function hasn't an inverse function.
A) A= 5000 x .0325 ( 31)
A= 5,037.50
.0325 = 3.25%
31 years 2021-1990 = 31
