Parent Functions
Write Transformations
Describe Transformations
100
The name of the parent function given by the equation f(x)=mx+b
What is a LINEAR FUNCTION?
100
Suppose the graph of π(π₯) was shifted left 3, stretched vertically by a factor of 5, and reflected over the x-axis to produce π(π₯). Write an equation for π(π₯).
g(x)=-5f(x+3)
100
Name three different types of transformations.
What is reflection, rotation, translation, or dilation.
200
The equation of an Absolute Value parent function.
What is
f(x)=|x|
200
Suppose the graph of π(π₯) = π₯2 was shifted left 3, stretched vertically by a factor of 5, and reflected over the x-axis to produce π(π₯). Write an equation for π(π₯).
g(x)=-5(x+3)^2
200
Identify the vertex for the absolute value equation:
f(x)=5|x+3|-1
What is (-3,-1)
300
The equation for a Cubic parent function?
f(x)=x3
300
Suppose the graph of π(π₯) = |π₯| was horizontally dilated by a factor of 4 and shifted up 3 to produce π(π₯). Write an equation for π(π₯).
g(x)=|1/4x|+3
300
Describe the transformation in the given equation:
h(x)=-(2x)^3-2
What is a cubic function reflected over the y-axis, vertically shifted down 2 units, and horizontally dilated by a factor of 1/2?
400
The parent function that is the inverse of
f(x)=x^3
f(x)=root(3)x
400
Suppose the graph of π(π₯) = βπ₯ was reflected over the y-axis, vertically dilated by a factor of 1/3 , and shifted down 2 to produce π(π₯). Write an equation for π(π₯).
g(x)=1/3sqrt(-x)-2
400
Describe the transformation of y = 2(x-4)2 +1
What is a vertical stretch of 2, shift right 4 and up 1?
500
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?
500
Suppose the graph of f(x) was reflected over the x-axis, horizontally dilated by a factor of 1/2 and translated horizontally by positive 5 to produce g(x). Write g(x).
g(x)=-f(2(x-5))
500
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.
600
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?
600
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
600
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 dilated by a factor of 1/2.