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
A. 6 + 6 = 12
b. 7 + 8 = 15
c. 0 + 0 = 0
d. 5 + -5 = -10
Mr. Toshio had 32 rulers.
32-11 = 21 rulers.
21+4 = 25 rulers.
and
25-7 = 18 rulers
To find the discount, multiply 60 by .2, which is 12. Now subtract 12 from 60. The trousers should cost $48 now because the cost has been reduced by 20% of 60, which is $12.
Answer: C
Step-by-step explanation:
