Factoring
Factor x2 + x - 72
=(x-8)(x+9)
Solve (x+5)(3x-2) = 0
x = -5 or x = 2/3
The shape of a quadratic function is called a ______________
What is parabola?
The parabola opens ______ (up or down)
y = (x - 3)2 - 7
What is up?
This is the quadratic formula
Please sing :)
Factor 9x2 - 6x + 1
=(3x - 1)(3x - 1)
= (3x - 1)2
Solve x2 - 6x - 7 = 0
(x-7)(x+1)=0
x = 7 or x = -1
The highest or lowest point of a parabola is called its ________
What is vertex?
The y-intercept of
y = (x - 2)2 + 3
What is 7?
(0-2)2 + 3 = 7
Simplify √(-50)
What is 5i√2?
Factor 8x2-2x-3
=(4x - 3)(2x + 1)
Solve x2 + 16 = 10x
x2 - 10x + 16 =0
(x-2)(x-8) = 0
x = 2 or x = 8
The place on a graph where the x-value is zero is called the ____________
What is y-intercept?
The vertex of this parabola
y = 2(x - 4)2 - 3
What is (4,-3)?
The maximum value of this function
y = -2(x + 1)2 - 9
What is -9?
Factor completely 50x2 - 8
=2(25x2 - 4)
=2(5x+2)(5x-2)
Solve x2 + 1 = 28
x2 = 27
x= ± 3√3
The possible y-values of a function is the _________
What is range?
The x-intercepts of
y = x2+ 2x - 15
What are 3 and -5?
0 = (x + 5)(x - 3)
x = 3 or x = -5
If the discriminant is equal to _______, the quadratic will have only one solution.
What is 0?
Factor completely
x3 + 5x2 - 9x - 45
= x2(x + 5) - 9(x + 5)
= (x + 5)(x2 - 9)
= (x + 5)(x + 3)(x - 3)
Solve (x - 4)2 + 9 = 0
(x - 4)2 = -9
x - 4 = ±3i
x = 4 ± 3i
The expression b2 - 4ac is called the _______ of a quadratic
What is discriminant?
The vertex of
y = x2 - 6x + 11
What is (3,2)?
x = -b/(2a) = 6/2 = 3
32-6(3)+11 = 2
The value of c which completes the square
x2 - 12x + c
What is 36?