Describing
Function notation
?
Even, Odd, Neither
Vocab
100
Describe the transformation express by f(x) - 9
Translated 9 units to the down.
100
Express g in terms of f if its graph is the graph of f translated 5 unit up
g(x) = f(x) + 5
100
What does f(x) represent?
The output of function f, when the input is x.
100
A graph is even when
It is symmetrical over the y-axis/a reflection over the y axis produces the same the graph
100
Shifting the graph is refer to as a
Translation, Translating
200
Describe the transformation express by f(x -3)
Translated 3 units to the right
200
Express g in terms of f if its graph is the graph of f translated 8 unit left
g(x) = f(x+8)
200
How does scaling the inputs of a function by 4 transform its graph?
It would compress it horizontally by a factor of 1/4.
200
Is this graph even, odd, or neither?
This graph is neither.
200
Mirroring the graph over an axis is refer to as
Reflection, Reflecting
300
Describe the transformation express by f(x + 5) + 7
Translated 5 units to the left and 7 unit up.
300
Express g in terms of f if its graph is the graph of f translated 4 unit down and 1 unit right
g(x) = f(x-1) -4
300
If f(t) represents the height on a Ferris wheel, and a different wheel can be modeled by h(t) = 6f(3t).
How does the height and speed of the spinning wheel modeled by function h compare to the wheel for f?
Wheel h is 6 times bigger and spins 3 times faster than f.
300
What is true about the inputs and outputs of odd functions
Opposite inputs Produce opposite outputs
f(x) = -f(-x)
300
Scaling a function horizontally changes the
Inputs
400
Describe the transformation express by -f(-x + 7)
Translated 7 units to the left and reflected over both axes.
400
Express g in terms of f if its graph is the graph of f translated 2 unit up and 3 unit right, then reflected over the x axis.
g(x) = -f(x-3) + 2
400
What college does Mr. Peña attend?
CSUDH
400
Which of these graphs is odd
none, they are all even
400
Scaling the function vertically changes the_______. the types are __________ or ____________
Outputs, Compress/Squashed or Stretched
500
Describe the follow the following transformation express by f(-5x -3) + 9
The graph of f is translated right 3 units and up 9 units, reflected over the y-axis and compressed horizontally by a factor of 1/5
500
Express g in terms of f if its graph is the graph of f translated 10 units down and 6 units left, reflected over the x-axis and stretched vertically by a factor of 3.
g(x) = -3f(x + 6) - 10
500
A bridge is built in the shape of a parabolic arch.
The bridge has a span of 50 metres and a maximum height of 40 metres. What is the function that models this bridge?
f(x) = (40/625)x(50 - x)
500
Function f has the following points (-1, 2), (0,0), (1,4)
is the function even odd or neither?
The function is neither.
If it was odd then it would have the points (-1, 2) and (1, -2) or (1, 4) and (-1, -4).
If it was even then it would have the points (-1, 2) and (1, 2) or (1, 4) and (-1, 4).
500
When two or more transformations are combined to form a new transformation, the result is called a
Sequence of Transformations