Vertex Form
Identify the vertex of the quadratic function.
y=-3(x-4)^2+2
(4,2)
What is the vertex of the parabola?
y=x^2-4x+1
Vertex: (2, -3)
What is the intercept (factored) form of a quadratic function?
y=a(x-p)(x-q)
Factor 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
Factor 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
Factor 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?
y=-3(x+2)^2-4
Maximum Value
Write the quadratic function in vertex form.
y=-2x^2-4x+6
y=-2(x+1)^2+8
Which graph would be thinner?
y=1/2(x-2)^2+4
y=3(x-2)^2+4
y=3(x-2)^2+4
Factor
3x^2+6x+3
3(x+1)(x+)
Solve the quadratic equation by factoring.
4x^2+6x=0
x=0, -3
Does the following quadratic function have a maximum or minimum?
y=1/2x^2+3
Minimun Value
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
Convert from factored form to standard form.
3(x+1)(x-3)
y=3x^2-6x-9
Solve the quadratic equation by factoring.
3x^2=x+4
x=-1, 4/3
Write the equation of a parabola with the given vertex and point.
Vertex: (-3, 7)
Point: (0,-2)
y=-(x+3)^2+7
Does the following parabola have a maximum or minimum value?
y=-2x^2-8x+3
Maximum Value
Which graph would be wider?
y=-1/2(x-2)^2+4
y=-4(x-2)^2+4
y=-1/2(x-2)^2+4
Convert from factored form to standard form.
1/2(x+4)(x-2)
y=1/2x^2+x-4
Solve the quadratic equation.
x^2-8x+9=2
x= 1, 7