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Multiply Using Area Model or FOIL
Combine Like Terms
Factor (Un-Multiply)
Factor AND Solve
Parabola Features
100
Multiply (3x-4)(5x-7)
What is 15x
2
- 41x + 28
100
Simply 10
2
- 7 + 3x + 10
2
+ 4x - 5
What is 20
2
+7x - 12
100
Factor x
2
+ 11x - 42
What is (x+14)(x-3)
100
Solve x
2
- 17x + 72 = 0
What is 8 & 9
100
The highest or lowest point on a parabola
What is the vertex?
200
Multiply (7x-1)(x-8)
What is 7x
2
- 57x +8
200
Simplify 2x + 7(x - 2) - 3(x + 5)+6x - 29
What is 12x - 58
200
Factor x
2
+30x + 200
What is (x+20)(x+10)
200
Solve x
2
+4x - 117 = 0
What is -13 & 9
200
The vertical line that cuts a parabola in half
What is the axis of symmetry?
300
Multiply (8x+8)(7x-3)
What is 56x
2
+32x - 24
300
Simplify 4(x + 3) - 2(x - 8) + 6x - 18x + 27
What is -10x + 55
300
Factor x
2
+21x + 68
What is (x+17)(x+4)
300
Solve x
2
-5x - 70 = 14
What is -7 & 12
300
In vertex form, this variable causes the parabola to be stretched, shrunk, or reflected.
What is a?
400
Multiply (x
2
- 4x - 4)(x-5)
What is x
3
- 9x
2
+ 16x +20
400
Simplify (-11x
2
+ 4 - 10x
4
) - (5x
4
- 9 + 2x
2
)
What is -15x
4
- 13x
2
+ 13
400
Factor x
2
- 10x - 119
What is (x-17)(x+7)
400
Solve x
2
- 18x + 71 = -6
What is 11 & 7
400
In vertex form, ___ causes a parabola to shift up or down, while ___ causes it to shift left or right, leaving the vertex at _____.
What is k, h, (h,k)?
500
Multiply (4x
2
+ x + 4)(2x
2
- 5x - 1)
What is 8x
4
- 18x
3
- x
2
- 21x - 4
500
Simplify (13x + 3x
2
- x
4
) - (28x
2
- 14x
4
+8)
What is 13x
4
- 25x
2
+13x - 8
500
Factor x
2
- 27x +176
What is (x-16)(x-11)
500
Solve -11x
2
+ 23x - 16 = 12x - 4 - 12x
2
What is -12 & 1
500
The parent function for all quadratic functions.
What is y=x
2