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
It was "eggs spear a mint".
Hope This Helps You!
Good Luck Studying :)
Answer:
2 1/4 cups of sugar
Step-by-step explanation:
You could change 3/4 to a decimal which is .75
Then multiply that by 3
The result was 2.25, so you would convert that into a fraction which would be 2 1/4
Divide it by 4/4. You should get 7/8. 7/8 is the same as 28/32. 28/4=7, 32/4=8. Therefore, you can divide it by 4/4.
Answer:
4. Answer is 19
5. Answer is 77
Step-by-step explanation:
65-(-12)
= 65+12
=77