Transformations
Relation VS. Function
Mish Math
Mother Functions
Function Notation
100
What transformation occurs when you add or subtract a number?
Translation/slide.
100
What makes a relation a function?
There can only be one output for every input.
100
Name 5 parent functions we have worked with.
Constant, Linear, Quadratic, Cubic, Square Root, Absolute Value
100
What is the name of the parent function with the equation f(x)=x?
Linear
100
Describe what function notation is.
You write f(x) instead of y in equations.
200
What type of transformation occurs when you multiply by a number between 0 and 1 on the 'outside' of the equation?
vertical compression.
200
Is the graph shown on SLIDE 10 a function or relation? Why?
Relation, because if you perform the vertical line test, it will touch the graph more than once for some vertical lines.
200
Describe what the vertical line test is and what it determines.
Draw vertical lines through a graph, if it touches a graph more than once, it is a relation; if it only touches once, it is a function.
200
What is the EQUATION for the parent function shown in SLIDE 2?
y=square root x
200
On SLIDE 6 evaluate f(2)
f(2)=6
300
Translate the point (4,-3) 4 units to the left and 2 units down. What are the new coordinates?
(0,-5)
300
Determine whether the graph on SLIDE 11 is a function or relation? Why?
Function
300
In function notation, g(x), what represents the input and the output?
input: x output: g(x)
300
From the equation on SLIDE 4, tell me what the parent function and the transformation that occurred
quadratic: right 6, up 1
300
On SLIDE 7 evaluate f(-4)
24
400
Reflect the point (12, -5) over the x-axis. What are the new coordinates?
(12,5)
400
Write the Domain and Range for the graph on SLIDE 12
D: {-6, 2, 3, 5} R: {-4, 3}
400
What type of transformation pulls the points of a graph away from the y-axis?
horizontal stretch
400
From the graph on SLIDE 3, tell me what parent function the graph comes from and the transformation that occurred.
cubic that was horizontally reflected.
400
On SLIDE 8 evaluate g(-5)
g(-5)=55
500
A store puts all its merchandise on sale for 40% off. What type of transformation would occur?
[vertical] compression
500
Determine if the table on SLIDE 13 represents a relation or function. Explain.
Relation.
500
Is the equation on SLIDE 5 a function or relation? Explain.
Function because it is a quadratic function.
500
WRITE the equation of a quadratic that translated to the left 5 units and reflected across the x-axis.
y=-(x+5)^2
500
Simplify SLIDE 9
-6y+2
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