Equations
Transformations
(Part 1)
(Part 1)
Transformations
(Part 2)
(Part 2)
Domain and Range
Max/Min, Increasing/Decreasing
100
3(2x - 5) + 4 = 25
x=6
100
Write the Parent Function and list the transformations for the following function below:
f(x) = (x - 4)2 + 3
Parent Function: Quadratic, f(x) = x2
Transformations: Right 4, Up 3
100
Write the equation.
The parent function is y=x2. It's Shifted right 3 units and up 5 units.
y = (x - 3)2 + 5
100
Find the Domain and Range of the following function:
{(-4,2), (0, 3), (2, 5), (6, 3)}
Domain: {-4, 0, 2, 6}
Range: {2, 3, 5}
100
Determine the degree and Leading coefficient. Then draw a picture or describe the end behavior of the following function
y = -4x2+2x-3
Degree: 2
LC: -4
Both down
200
5x - 7 = 2(x + 4) + 9
x=8
200
Write the Parent Function and list the transformations for the following function below:
f(x) = -|x + 2| - 5
Parent Function: Absolute Value f(x) = |x|
Transformations: Reflect over the x-axis, left 2, down 5
200
Write the equation.
The parent function is y=x2. It's shifted left 2 units, up 6 units and reflected over the x-axis
y=-(x + 2)2 + 6
200
Find the Domain and Range of the following function:
Domain:
[-4, infty)
Range:
[2, infty)
200
List the min/max values and determine whether they are local min/max or absolute min/max.
Local max: 8
Local min: -4
300
|2x - 5| = 11
x = 8, x = -3
300
Write the Parent Function and list the transformations for the following function below:
f(x)=2sqrt(x-3)+1
Parent Function: Square Root
Transformations: Vertical Stretch by a factor of 2, right 3, up 1
sqrtx
300
Write the equation.
The parent function is
y=sqrtx
It's Shifted right 5 units, down 2 units and vertically stretched by a factor of 3.
y=3sqrt(x-5)-2
300
Find the Domain and Range of the graph:
Domain: (-3, 4]
Range: [-2,5)
300
Define the increasing and decreasing intervals for the following function below:
Increase:
(-infty,-2) & (3, infty)
Decrease: (-2, 3)
400
3|x + 4| - 2 = 16
x = 2, x = -10
400
List the transformations for the following function below:
f(x)=1/2(x-5)^2-6
Vertical Compression (Wider) by a factor of 1/2
Right 5
Down 6
400
Write the equation of the Transformed (BLUE) graph:
y = -(x + 1)2 + 3
400
Find the Domain and Range of the following function:
Domain: All Real Numbers
Range:
[-3, infty)
400
Describe the end behavior of the function below with words.
Left -- Down
Right -- Up
500
2sqrt(x-3)+1=9
x=19
500
Write the Parent Function and list the transformations for the following function below:
f(x) = -3(x + 1)3 - 4
Parent Function: Cubic, f(x) = x3
Transformations: Reflect over the x-axis, Vertical stretch (skinny) by a factor of 3, left 1, down 4
500
Write the equation of the Transformed graph:
y=sqrt(x - 1) + 2
500
find the Domain and Range of the following function:
f(x) = -2(x + 1)2 + 8
Domain: All Real Numbers
Range:
(-infty, 8]
500
Write the correct notation for the end behavior of this function:
