Adding/Subtracting Polynomials
Multiplying Polynomials
Quadratic Rate of Change
Quadratic Key Features
Quadratic Vertex Form
100
(x+1)+(x+1)
2x+2
100
(x+1)(x+1)
x^2+2x+1
100
Find the second difference of the Quadratic represented below.
2nd difference: 2
100
What is the domain and range for the Quadratic graphed below?
Domain: (-oo,oo)
Range: [4,oo)
100
Lilly is designing a video game level and needs to add a quadratic shape. She intends to make the following changes to the original parent shape. Write the new quadratic function.
- Move it up 6
- Move it right 4
- Dilated by
1/2
f(x) =1/2(x-4)^2+6
200
(2x+1)-(x+3)
x-2
200
(2x+2)(-x-3)
-2x^2-8x-6
200
Find the common 2nd difference of the Quadratic below.
6
200
What are the x and y intercepts for the Quadratic graphed below?
x intercepts - (-4,0) and(0,0)
y-intercepts - (0,0)
200
Does the Quadratic graphed below show a reflection?
false
300
(2x+3)-(x^2+x-1)
-x^2+x+4
300
Find the area of a rectangle if it has a length of
4x+4 and a width of
x^2+4x
4x^3+20x^2+16x
300
Find the Second Difference of the Quadratic below.
-4
300
What is the vertex and axis of symmetry of the Quadratic graphed below?
Vertex : (5,3)
Axis of Symmetry x=5
300
Angelica found that the function describing the flow of water from a water fountain (below). Find the vertex of this function.
f(x)= -2/3(x+2)-3
(-2,-3)
400
(2x^3-x^2+4x-1)-(7x^2-5x+1)
2x^3-8x^2+9x-2
400
Steve is wanting to paint a mural from a section of the wall. He has a total of 84 feet of tape. What dimensions can he make his four-sided shape in order to maximize his space for his mural?
What is the length? What is the width?
Length = 21, Width = 21
400
A quadratic has a ____ rate of change and a common ____.
1. Linear
2. 2nd difference
400
What are the increasing and decreasing intervals of the Quadratic function graphed below?
Increasing: (-2,oo)
Decreasing: (-oo,-2)
400
Describe the transformations from the parent function of the Quadratic below.
f(x)=-2(x+3)^2-7
the vertex moved left 3 and down 7, vertical dilation of 2, reflection occurred
500
Find the Perimeter of the Rectangle Below.
4x^2+12x-4
500
Find the area of the rectangle with a width of (8x+16) and a height of
(2x^2-6x+10)
16x^3-16x^2-16x+160
500
Write the Quadratic Function represented by the table below.
x^2+6x-4
500
What is the end behavior of the Quadratic Function below?
-oo
500
What is the equation of the Quadratic graphed below?
y=-3(x-2)^2+3