Vertex Form
Standard Form
cubic and abs value
Quadratic Expressions
Solving Quadratic Equations
100
Identify the transformations being applied to the parent quadratic function.
y=-3(x-4)^2+2
Reflected Across the X-axis (negative)
Vertically Stretched by 3
Right 4
Up 2
100
What is the vertex of the parabola? (hint...complete the square)
y=x^2-4x+1
Vertex: (2, -3)
100
Find the Vertex
(-3, -3)
100
Factoring the following quadratic expression.
x^2+13x+42
(x+6)(x+7)
100
What are the two roots of this equation?
x(2x-3)=0
x=0, 3/2
200
What is the vertex of the following quadratic function?
y=(x+2)^2-7
Vertex: (-2, 7)
200
What is the vertex of the parabola? (hint.... complete the square)
y=3x^2+18x+32
Vertex: (-3, 5)
200
What is the equation for this?
y= -3 abs (x -4)
200
Factoring the following quadratic expression.
-x^2+16x-55
-(x-5)(x-11)
200
What are the two roots?
(x-3)(2x+5)=0
x=3, -5/2
300
If the vertex is (4, -5), what is the Axis of Symmetry?
AoS:
x=4
300
Write the quadratic function in vertex form.
y=x^2-8x+19
y=(x-4)^2+3
300
Create an equation for this cubic
y=3(x+2)^3 -2
300
Factoring the following quadratic expression.
-9x^2+6x
-3x(3x-2)
300
Find an equation whose roots are x = -4 and x = 6
x^2-2x-24
400
What is the Domain and Range?
y=-3(x+2)^2-4
D = RR
R = y<= -4
400
Write the quadratic function in vertex form.
y=-2x^2-4x+6
y=-2(x+1)^2+8
400
What is the formula for a parabola that is shifted down 2, left 5 and vertically stretched by 6?
6(x+5)^2 -2
400
Factoring the following quadratic expression.
3x^2+8x-3
(3x-1)(x+3)
400
Find the roots of the quadratic equation by factoring.
4x^2+6x=0
x=0, -3/2
500
What is the Doman and Range of?
y=1/2(x^2-5)+3
D = RR
R = y>= 3
500
What is the y-intercept of the quadratic function?
y=2x^2+4x-4
Y-Intercept: (0, -4)
500
Create an equation from the graph
500
Put the following equation into standard form
3(x+2)^2 -10
3x^2 +12x +2
500
find the roots of the equation by factoring.
3x^2=x+4
x=-1, 4/3
600
Write an equation of a parabola with the given vertex.
Vertex: (-3, 7)
y=a(x+3)^2+7
600
What is the Domain and Range for this equation?
y=-2x^2-8x+3
D = RR
R = y <= 11
600
Create an equation for the function
y = 3(x-2)^3 +1
600
Put the following equation into standard form
5(x-3)^2 +30
5x^2 - 30x +75
600
Find the Equation with root of X = 1 and X = 7
x^2-8x+7