Parent Functions
Transformations of Functions
Graphing Transformations
Transformation
100
The parent function given by the equation f(x)=mx+b
What is a LINEAR FUNCTION?
100
Describe the transformation that is occurring in the graph below
What is an absolute value function with a horizontal shift to the left 3 units, a reflection over the x-axis, and a vertical shift upward 3 units.
100
f(x)=(x-7)^2 +4
What is (7,4)
100
Name three different types of transformations.
What is reflection, rotation, translation, or dilation.
200
The Parent Function given by the graph:
What is a Quadratic Function?
200
Describe the transformation in the given equation:
h(x)=-x^3-2
What is a cubic function reflected over the y-axis and vertically shifted down 2 units?
200
Identify the locator point for the absolute value equation:
f(x)=5|x+3|-1
What is (-3,-1)
200
f(x)=sqrt(x+3)-2
What is (-3,-2)
300
The equation of an Absolute Value parent function.
What is
f(x)=|x|
300
Describe the transformation of y = 2(x-4)2 +1
What is a vertical stretch of 2, shift right 4 and up 1?
300
Graph the transformation given by the equation:
z(p)=(x-4)+3
What is:
300
Description of transformation of f(x) to g(x)
f(x)=x^2
g(x)=-6x^2
What is a reflection across the x-axis and a vertical stretch of 6?
400
The equation for a Cubic parent funciton?
f(x)=x3
400
Describe the transformation in the given equation:
f(x)=1/2sqrt(x-4)
Whats is a square root function horizontally shifted 4 units to the right and vertically compressed by a factor of 1/2.
400
Describe the domain and range of the graph:
What is domain:
(- infty, 1/2]
What is range:
[2, infty)
400
Given k(x) and k(x) has been reflected over the x-axis and down 1
k(x)=sqrt(x-5) +2
What is
-sqrt(x-5)+1
500
Identify one Parent Function with domain exclusions (domain is NOT -infinity -> +infinity)
What are the Radical or Rational functions.
f(x)=sqrtx
f(x)=1/x
500
Describe the domain of the transformation given by:
g(x)=2/(-x+4)
**Hint: This is a reciprocal function.
What is All REAL NUMBERS EXCEPT 4?
(-infty, 4) uu (4, infty)
500
Graph the transformation given by the graph:
g(t)=(t-2)^2+3
What is 
500
Given
g(x)=1/x
f(x)=1/(x+3) -2
The transformation from g(x) to f(x).
What is left 3 and down 2?