Answer:
23
y = ----- (x + 1)^2 - 3
9
Explanation:
Use the general vertex form equation of the parabola to find the function.
1) Vertex form equation: y = A (x - h)^2 + k
Where h and k are the vertex - coordinates, i.e. vertex = (h,k)
2) The vertex is the minimum (or maximum) of the parabola. In this case it is (-1,-3)
=> h = -1, k = -3.
3) Replace the vertex-coordinates in the vertex form equation of the parabola:
y = A(x + 1)^2 - 3
4) To find A replace the coordinates of the other point given: (2,20)
=> 20 = A(2 + 1)^2 - 3
=> A(3^2) = 20 + 3
=> A(9) = 23
=> A = 23/9
5) Replace h, k and A in the vertex form of the parabola:
y = (23/9) (x + 1)^2 - 3
12.9986 would be the answer from a calculator but I'd say it's 12.9. Hope this helped!
Answer:
Least: 10.5
Greatest: 14.125
Hope that helps!
Step-by-step explanation:
Answer: (2p^2+3)(p+3)
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Explanation:
Factor by grouping each term into two groups and then factor out the GCFs
2p^3 + 6p^2 + 3p + 9
(2p^3 + 6p^2) + (3p + 9)
2p^2(p + 3) + 3(p + 3)
(2p^2 + 3)(p+3)