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Factoring
Graphs
Transformations
Complete the Square
Quadratic Formula
100
Factor completely: x²+6x+5
(x+1)(x+5)
100
Find the vertex of f(x) = ½ (x+3)² - 4
vertex (-3,-4)
100
Describe the transformation of g(x)= x² - 5 from its parent function f(x)= x²
Vertical translation DOWN 5 units
100
Find the number that completes the square : x² + 8x
+16
100
Find the discriminant of x² - 4x - 5=0 and determine the number of real solutions.
D= 36 ; TWO real solutions
200
Factor completely -2x²+10x-12
-2(x-2)(x-3)
200
Find the vertex AND axis of symmetry of f(x) = -3 (x-1)² + 5
vertex (1,5) axis of symmetry x=1
200
Describe the transformation of g(x)= (x+3)² from its parent function f(x) = x²
Horizontal translation LEFT 3 units
200
Find the number that completes the square: x² - 10x
+25
200
Find the discriminant of 6x² - 2x + 5=0 and determine the number of real solutions.
D= -116 ; NO real solutions
300
Factor completely 2x²-11x+5
(2x-1)(x-5)
300
Find the vertex and max/min value of f(x) = -2 (x-7)² -3
vertex (7, -3) maximum value y= -3
300
Describe the transformation of g(x)= (x - 2)² + 7 from its parent function f(x)=x²
Vertical translation UP 7 units Horizontal translation RIGHT 2 units
300
Solve by completing the square x² + 8x = -6
x = -4 ± √10
300
Use the quadratic formula to solve x² - 4x = 5
x = 5 , x = -1
400
Factor completely 16x²-64
What is 16(x+2)(x-2)
400
Find the vertex of f(x) = -1x²+4x-4
vertex (2,0)
400
Describe the transformation of g(x)= ½ (x+1)² + 5 from its parent function f(x)=x²
Vertical translation UP 5 units Horizontal translation LEFT 1 unit Vertical Compression by a factor of 1/2
400
Solve by completing the square x² - 10x = 13
x= 5 ± √38
400
Use the quadratic formula to solve 12x + 9x² = 5
x= 1/3 , x= -5/3
500
SOLVE by factoring 3x²+7x=20
x=-4 , x=5/3
500
Find the vertex, axis of symmetry, max/min value, domain, and range of f(x) = x²+6x+5
vertex (-3, -4) axis of symmetry x= -3 minimum value y= -4 domain: all real numbers range: y≥ -4
500
Describe the transformation of g(x)= -4 (x+2)² - 6 from its parent function f(x)=x²
Vertical translation DOWN 6 units Horizontal translation LEFT 2 units Vertical Stretch by a factor of 4 Reflection over the x-axis
500
Solve by completing the square x² + 8x - 11 = 0
x = -4 ± 3√3
500
Use the quadratic formula to solve 6x - 5= -1x²
x= -3 ± √14