Transformations
Systems of Equations
Vocabulary
More Transformations
Linear Functions
100
Write a function that will transform f(x) left 2 and up 4.
y=f(x+2)+4
100
How many solutions does this system have?
No Solution
100
Is this graph a function? Explain why or why not.
Not a function because it fails the VLT.
100
Use y=-f(x)-3 to transform (-1,-5)
(-1, 2)
100
Write the equation of the line in slope-intercept form
y=-3/2x+4
200
What are the transformations?
y=-f(x-4)+2
x-axis reflection, right 4, up 2
200
Solve the system:
Infinitely Many Solutions
or
oo
200
What kind of system is the following?
Consistent and Independent
200
Describe the transformation from the blue graph to the red graph.
Horizontal shrink of 1/2, down 3
200
Interpret the y-intercept of the graph of an elevator traveling from the top floor of a skyscraper.
The skyscraper is 1250 feet tall to the top floor
300
Write a function that will transform f(x) with a horizontal stretch of 3, right 3, and x-axis reflection.
y=-f(1/3x-1)
300
Solve the system:
(-2, 9)
300
What kind of system is the following?
Inconsistent
300
Write a rule for this transformation
y=2f(-x+5)+1
(-x+5, 2y+1)
300
Interpret the slope of the graph of an elevator traveling from the top floor of a skyscraper.
The elevator is traveling down the skyscraper at a rate of 28 feet every second.
400
What are the transformations?
y=f(-1/4x)+2
y-axis reflection, horizontal stretch of 4, up 2
400
Find the y-value of the solution to the system:
y = -1
400
In y=af(b(x-h))+k
if abs(b) <1 how will the function transform?
Horizontal stretch of
1/b
400
Write a rule for this transformation
y=-4f(1/4x-2)
(4x+8, -4y)
400
Write the equation of the line in slope-intercept form
y=1/3x-3 2/3
500
What are the transformations?
y=3f(-2x+6)-1
Vertical stretch of 3, y-axis reflection, horizontal shrink of 1/2, right 3, and down 1
500
Solve the system
(0, -1, 3)
500
What is the range of this function?
-9<=y<=-2
500
Write a function that will transform f(x)
left 6, y-axis reflection, horizontal shrink of 3/4 and down 5.
y=(-4/3x-8)-5
500
Does r = -0.82 represent a strong linear relationship between the variables? Explain why or why not.
Yes because it is close to -1. The relationship would have a negative slope.