Transformations
F-IF.4 Key Features
A-APR.1 Polynomials
Greatest Common Factors
Factor
100
Write the parent function of a quadratic
y=x2
100
Identify key points of the graph above.(y-intercept, x-intercepts, axis of symmetry, vertex)
y-intercept: (0,0)
x-intercepts: (0,0), (2,0)
axis of symmetry: x=1
vertex: (1, 2)
100
Multiply the polynomials:
(4x-5)2
16x2-40x+25
100
Factor:
x2+5x-24
y=(x+8)(x-3)
100
Find the equation that is equivalent to the quadratic equation shown.
C
200
Write a quadratic function vertically translated (shifted) up 3 units
y=x2+3
200
The function f(x)=4x-x2 is graphed in the xy-coordinate plane as shown. Based on the graph what are the intervals of increase and decrease?
Increase:
0<x<2
Decrease:
2<x<4
200
C
200
Factor:
x2-7x+12
y=(x-3)(x-4)
x={3, 4}
200
A
300
Write a quadratic function vertically translated (shifted) up 3 units and horizontally translated (shifted) left 14 units
y=(x+14)2+3
300
The figure shows a graph of the function of f(x) in the xy-coordinate plane,
with the vertex at (1, 9) and the zeros at -2 and 4. 
Write the equation in vertex form.
f(x)=(x-1)2+9
300
Multiply the polynomials
(2x-7)(4+5x)
10x2-27x-28
300
Factor:
9x2-4
y=(3x-2)(3x+2)
300
Find the perimeter of the figure in terms of x.
10x-2
400
What transformation occurs to parent function
x^2
result in
(1/2)x^2
wider by a factor of
1/2
400
The graph of the function g is g(x)=a(x+3)2-5 what is the value of a?
4/9
400
Multiply the polynomials
(2x2-4)(x+9)
Remember,
x*x=x2
x2*x3=x5
2x3+18x2-4x-36
400
Find the greatest common factor of the following polynomial.
2y^5+8y^2+6y
GCF: 2y
400
Solve By Factoring: 4x2+12x+8=0
4(x2+3x+2)=0
4(x+2)(x+1)=0
x={-2, -1}
500
Write an equation of a quadratic function horizontally reflected across the x-axis and vertically translated 11 units down
y=-x2-11
500
Identify key points of the graph above.(y-intercept, x-intercepts, axis of symmetry, vertex)
y-intercept: (0,2)
x-intercepts: (-2,0), (1,0)
axis of symmetry: x=0.5
vertex: (0.5, 2.25)
500
Multiply the following polynomial expression:
2(x-6)(x-4)
2x2-4x-48
500
6)When factoring by the greatest common factor, what should replace N in the expression?
n=10
500
Area Problems: The length of a rectangle is 4 meters less than twice its width. The area of the rectangle is 70. Find the dimensions of the rectangle.
2(w-7)(w+5)
width:7
length:10