Vertex Form
Identify the transformations being applied to the parent quadratic function.
y=-3(x-4)^2+2
Reflected Across the X-axis
Stretched by 3
Right 4
Up 2
What is the vertex of the parabola?
y=x^2-4x+1
Vertex: (2, -3)
What is the parent quadratic function?
y=x^2
Factoring the following quadratic expression.
x^2+13x+42
(x+6)(x+7)
What are the two zeros that come from the following binomials?
x(2x-3)=0
x=0, 3/2
What is the vertex of the following quadratic function?
y=(x+2)^2-7
Vertex: (-2, 7)
What is the vertex of the parabola?
y=3x^2+18x+32
Vertex: (-3, 5)
What is the following form of the quadratic function called?
y=a(x-h)^2+k
Vertex Form
Factoring the following quadratic expression.
-x^2+16x-55
-(x-5)(x-11)
What are the two zeros that come from the following binomials?
(x-3)(2x+5)=0
x=3, -5/2
If the vertex is (4, -5), what is the Axis of Symmetry?
AoS:
x=4
Write the quadratic function in vertex form.
y=x^2-8x+19
y=(x-4)^2+3
What is the Standard Form of the quadratic function?
y=ax^2+bx+c
Factoring the following quadratic expression.
-9x^2+6x
-3x(3x-2)
Solve the quadratic equation by factoring.
x^2-2x-24=0
x=-4, 6
Does the following quadratic function have a maximum or minimum? What is that max or min value?
y=-3(x+2)^2-4
Maximum Value of -4
Write the quadratic function in vertex form.
y=-2x^2-4x+6
y=-2(x+1)^2+8
What task is easier to complete is you have the quadratic function in Vertex Form verses Standard Form?
Graphing the Function
Factoring the following quadratic expression.
3x^2+8x-3
(3x-1)(x+3)
Solve the quadratic equation by factoring.
4x^2+6x=0
x=0, -3
Does the following quadratic function have a maximum or minimum? What is that max or min value?
y=1/2x^2+3
Minimun Value of 3
What is the y-intercept of the quadratic function?
y=2x^2+4x-4
Y-Intercept: (0, 4)
What is the graph (shape of the graph) of a quadratic function called?
Parabola
Factoring the following quadratic expression.
16x^2-40x+25
(4x-5)^2
Solve the quadratic equation by factoring.
3x^2=x+4
x=-1, 4/3
Write the equation of a parabola with the given vertex.
Vertex: (-3, 7)
y=-12(x+3)^2+7
Does the following parabola have a maximum or minimum value?
y=-2x^2-8x+3
Maximum Value
Solve the equation for x:
x^2+6x=3
x= -3 + sqrt(17), -3 - sqrt(17)
Factoring the following quadratic expression.
25x^2-9
(5x+3)(5x-3)
Solve the quadratic equation.
x^2-8x+9=2
x= 1, 7