Fun
Vertex Form
Change to
Standard form
Standard form
Factoring Quadratic Expressions
What it is
100
How many inches are in a foot?
12 inches
100
Identify the transformations being applied to the parent quadratic function.
y=-3(x-4)^2+2
Reflected Across the X-axis
Vertically stretched by 3
Shifted right 4 and up 2
100
Write this in standard form
y=(x+1)^2-3
y=x^2+2x-2
100
Factoring the following quadratic expression.
x^2+13x+42
(x+6)(x+7)
100
Quadratic Function
A function in which the greatest power of the variable is 2
200
How many weeks are in a year?
52
200
What is the vertex of the following quadratic function?
y=(x+2)^2-7
Vertex: (-2, -7)
200
Write this in standard form
y=2(x+4)^2-5
y=2x^2+16x+29
200
Factoring the following quadratic expression.
3x^2+8x-3
(3x-1)(x+3)
200
Parent function
Is the most basic function of a particular category or type.
300
China has this many time zones?
1
300
What is the Axis of Symmetry for the equation
f(x) = 2x^2-12x+13
AoS:
x=3
300
Write this in standard form
y=-3(x+3)^2-2
y=-3x^2-18x-29
300
Factoring the following expression.
x^3-2x^2-24x
x(x-6)(x+4)
300
Vertex
A point where two or more straight lines meet.
The maximum or minimum point
400
How many states are in the USA?
50
400
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 y=-4
400
Write this in standard form
y=(x+2)^2-7
y=x^2+4x-6
400
Rewrite the following quadratic equation in its Factored Form
y= -x^2+16x-55
y=-(x-5)(x-11)
400
Axis of symmetry
A line that divides a plane figure or a graph into two congruent reflected halves
Axis of symmetry is X value. Axis of symmetry is the x value from the vertex
500
How many oceans are on the planet Earth?
5
500
Does the following quadratic function have a maximum or minimum? What is that max or min value?
y=1/2x^2+3
Minimum Value of y=3
500
Write this in standard form
y=2(x+1)^2-12
y=2x^2+4x-10
500
Factoring the following quadratic expression.
16x^2-40x+25
(4x-5)^2
500
How is called a graph of a quadratic function?
Parabola
600
How many zeros are in a million?
6
600
Write the equation of a parabola with the given vertex.
Vertex: (-3, 7) that also passes through point (0, -11)
y=-2(x+3)^2+7
600
Write this in quadratic standard form and find the zeros
y=25x^2-20x
x =0
x=4/5 ≅ 0.8
600
Write the quadratic equation in standard form that has zeros at (2,0) and (5,0) and also passes through the point (0,-3)
y=-3/10(x-2)(x-5)
y= -3/10x^2+21/10x-3
600
Axis of symmetry formula
