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
Yes
7x6=42
8x6=48
Hope that helped :D
150.
You can read the uppermost point on the graph which is pretty much that point.
Answer:
= 28/3
Step-by-step explanation:
Let's solve your equation step-by-step.
x(3)−(8)(2)−9x+72=0
Step 1: Simplify both sides of the equation.
x(3)−(8)(2)−9x+72=0
3x+−16+−9x+72=0
(3x+−9x)+(−16+72)=0(Combine Like Terms)
−6x+56=0
−6x+56=0
Step 2: Subtract 56 from both sides.
−6x+56−56=0−56
−6x=−56
Step 3: Divide both sides by -6.
−6x
−6
=
−56
−6
x=
28
3
Answer:
x=
28
3
