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:
y = mx + b.
y = 7/8x - 3/2
Step-by-step explanation:
Hope this helps!! :))
Answer:
LeBron James
Step-by-step explanation:
Answer:
3428.57
Step-by-step explanation:
20,000/7=
2857.14
20,000/5=
4,000
2857+4,000=
6857.14/2=
3428.57
Because -7i and 7i are the solutions to the quadratic equation, you can first write it in factored form (x-7i)(x+7i). The you multiply this out and get x^{2} +49.
