Answers:
- Vertex form: y = -2(x-1)^2 + 8
- Standard form: y = -2x^2 + 4x + 6
Pick whichever form you prefer.
=============================================================
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:
x=14
y=140
Step-by-step explanation:
Using (9x+14) + (3x-2) = 180, we can solve this equation.
First add like values giving you 12x+12=180. Then subtract 12 from both sides giving you 12x=168.
Then divide both sides by 12 giving you x=14.
Finally, just simply set 9x+14 equal to y and substitute x for 14. This gives you 140=y
Hope this helped
Its all up to you and how hard you are willing to work to get that may credits in one semester. But you could do it. Hope that helped!
Answer:
x=16
Step-by-step explanation:
5times 4=20
3times 4=12
4times 4=16
