The generic equation of a parabola is:
f (x) = ax ^ 2 + bx + c
To verify the equation of the parabola you need three points:
f (x) = ax ^ 2 + bx + c
We choose the points:
(x, y) = (- 1,7)
7 = a (-1) ^ 2 + b (-1) + c
7 = a - b + c
(x, y) = (0,5)
5 = a (0) ^ 2 + b (0) + c
5 = c
(x, y) = (- 2,5)
5 = a (-2) ^ 2 + b (-2) + c
5 = 4a - 2b + c
We solve:
c = 5
5 = 4a - 2b + 5
7 = a - b + 5
Rewriting
b = 2a
a-b = 2
Substituting:
a-2a = 2
a = -2
b = -4
The equation of the parabola is:
f (x) = - 2x ^ 2 -4x + 5
Answer:
The lower score is -12, and he wins buy (12 -9) , or 3 points
Answer:
3/4*x - 3/4*8=12
3/4x -6=12
3/4x=12+6
3/4x=18
x=24
Step-by-step explanation:
multiply 3/4 into the content inside the brackets
have -3/4*8 cross the equal sign changing its sign from - to +
divide both sides by 3/4
Answer:
2x^2-12x-54
Step-by-step explanation:
First 2x times x along with 2x times -9
Second 6 times x along with 6 times -9
2x^2-18x+6x-54
=2x^2-12x-54
Answer:
B. 3n
Step-by-step explanation:
n + n + n = 3n
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<u>3n</u> = n + n + n
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