Factoring Polynomials
Domain/Range & Translations/Dilations of Quadratic Functions
Vertex Form & Data
Solving Quadratic Functions Part 1
Solving Quadratic Functions Part 2
100
Factor the following polynomial:
16x2-22x
2x(8x-11)
100
Find the domain and range of the quadratic function:
0≤x≤14
0≤y≤10
100
Write the following vertex form in standard form:
h(x)=2(x-3)2-9
h(x)=2x2-12x+9
100
Solve the following quadratic function:
3x2-24x=0
x=0 & x=8
100
Solve the following quadratic function:
2x2-x-15=0
x=-2.5 and x=3
200
Factor the following polynomial:
x2+x-20
(x+5)(x-4)
200
Write the function that represents the translation from the parent function:
a(x)=f(x+3) or a(x)=(x+3)2
200
Use desmos to write a function in standard form for the following table:
y=-0.04x2+4x+3
200
Solve the following quadratic function:
x2-289=0
±17
200
Solve the following quadratic function:
(x-6)2-12=24
x=12 & x=0
300
Factor the following polynomial:
7x2+16x+4
(7x+2)(x+2)
300
What key features will change for the following translation from the parent function?
axis of symmetry, vertex, x-intercepts, y-intercept
300
Use desmos to write a function for the following data:
y=-1.5x2+x+3
300
Solve the following quadratic equation:
x2+18x=7
x=-9±2√ 22
300
Solve the following quadratic function:
x2-10x+8=0
x=5±√ 17
400
Factor the following polynomial:
9x2-49
(3x+7)(3x-7)
400
What kind of dilation from the parent function is this?
g(x)=6x2
Vertical Stretch
400
Use the following vertex and point to write a quadratic equation in vertex form:
Vertex: (-3,4) and point: (-1,-8)
y=-3(x+3)2+4
400
Solve the following quadratic equation:
3x2-10x+3=0
x=3 and x=1/3
400
Solve the following quadratic equations:
x2+4x+3=15
x=2 and x=-6
500
Factor the following polynomial:
(9x2-24x+16)
(3x-4)2
500
What kind of dilation is this AND what kind of dilation looks the same on a graph?
h(x)=(0.5x)2
It is a horizontal stretch but looks the same on a graph as vertical compression.
500
Use the following vertex and point to write a quadratic equation in standard form:
Vertex: (-4,2) and point: (-3,6)
y=4x2+32x+66
500
Write a quadratic equation in standard form of the following graph.
y=x2-4x-5
500
Write a quadratic equation for the following graph in standard form:
y=-x2+6x