Solving 1
Setting a quadratic equation equal to 0 and solving the equation will help you find the _____ intercepts.
X
x2 - 7x + 3 = 11
x = 8, -1
Find the vertex of the equation:
f(x) = -3(x + 2)2 - 5
(-2, -5)
Is the parabola opening up or down?
f(x) = -2x2 - 7x + 3
Down
A ball is thrown such that it's height is modeled by the equation H(t) = -16t2 + 82t + 7.
What is the meaning of the 7?
The initial height from which the ball was thrown.
0 = 3x2 - 12
x = 2, -2
4x2 - 4x + 1 = 6x2 + x -24
x = -5, 5/2
State the domain of the equation:
f(x) = -2(x + 1)2 - 6
All Real
Is the vertex a minimum or a maximum?
f(x) = 2x - x2 - 4
Maximum
A ball is thrown such that it's height is modeled by the equation H(t) = -16t2 + 82t + 7.
What is the maximum height the ball will reach?
112.06 ft
4x2 + 16 = 8
NRS
3x2 = 4x
x = 0, 4/3
f(x) = (x + 3)2
x = -3
Find the vertex of the parabola:
g(x) = -3x2 - 8x + 2
(-1.33, 7.33)
Find the solution to the system:
y = 3x2 - 6x + 1
x = 3
(3, 10)
3(x - 5)2 - 10 = 14
x = 7.82, 2.18
x2 + 7x - 3 = 0
x = .41, -7.41
On what interval is the function increasing?
f(x) = 2(x - 1)2 - 7
x > 1
f(x) = 3x2 - 6x + 8
y >= 5
Find the solution to the system:
y = x2 - 6x + 3
y = x + 11
(8, 19) and (-1, 10)
-(x + 6)2 - 8 = -12
x = -4, -8
3x2 - 5x + 2 = 7 - x2 + 2x
x = 2.29, -.55
Find the vertex of the equation:
f(x) = (x - 2)(x + 3)
(-.5, -6.25)
Change the equation into vertex form:
f(x) = 2x2 - 6x + 3
f(x) = 2(x - 1.5)2 - 1.5
The height of a thrown ball is modeled by the equation:
H(t) = -16t2 + 142t + 3
At what times is the ball 100 ft in the air?
8.13 and .75 seconds