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:
Y=-1/2x ?
Step-by-step explanation:
There might be an y intercept. First find the slope. (Change in y over change in x) -2-1 over -1-5 then you get -3/-6. You can simplify an get -1/2. That forms an equation of y=-1/2x. That might be part of the answer. You still might need to find the y intercept, and I dont know how really. Hope this helps.
Triangle is missing, so i have attached it.
Answer:
Radius = 10.82
Step-by-step explanation:
From the image attached, the triangle is obviously a right angle triangle and therefore, the missing side (AB) which is the radius can be found via pythagoras theorem.
We are given;
AC = 21
BC = 18
Thus;
|AC|² = |AB|² + |BC|²
21² = |AB|² + 18²
|AB|² = 441 - 324
AB = √117
AB = 10.82
Because they make the shape to determine the shape of the polygon
