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:
5 1/8 feets
Step-by-step explanation:
Given that:
PLAN A:
Length of post = 4.25 feets
Post must be 7/8 feets below the ground
Height of fence in PLAN A :
Converting 4.25 feets to decimal :
4.25 feets = 4 feets + 0.25 feets
0.25 feets = 1/4 feets
4 + 1/4 feets = 4 1/4 feets
4 1/4 feets + 7/8 feets
17 /4 feets + 7 /8 feets = [(34 + 7) / 8] feets
[(34 + 7) / 8] feets = 41/ 8 feets
41 / 8 feets = 5 1/8 feets
Answer:
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Step-by-step explanation:
Answer:
1 it forms a 90 degree angle
