Transformations
What does transformation does -f(x) do to a function?
Reflects the function over the x-axis
What is equation of the cube root parent function?
f(x)=x3
If you are given the point (2,-7) from a function, what is the related point on the inverse function?
(-7,2)
Question is on slide 5
Answer is on slide 6
What is the inverse OPERATION of adding a number to a function?
Subtraction
How has the function (x-3)3 been transformed from the parent function?
Shifted to the right 3 units
Draw the graph of the logarithmic parent function.
Include the x and y axis in your drawing
Slide 3
How do you prove that two functions are inverses of one another?
f(g(x))=g(f(x))=x
Question is on slide 7
Answer is on slide 8
How do you undo a function that has been squared (ex. x2)?
Square root
How has the function 3ln(x) been transformed?
Vertically stretched by a factor of 3 OR horizontally compressed by a factor of 3
What is the equation of the rational parent function?
f(x)=1/x
What is the inverse OPERATION of cubing a function (ex. x3)?
Cube root
Question is on slide 9
Answer is on slide 10
Question is on slide 26.
Answer is on slide 27.
How has the function 2x+7 been transformed?
Shifted to the left 7 units
Draw the graph of the rational parent function.
Include the x and y axis in your drawing.
Slide 4
What is the inverse of the function f(x) = 3x-8
f-1(x) = (x+8)/3
Question is on slide 11
Answer is on slide 12
RANDOM QUESTIONNNNNNNN
Teacher has the answer
What is the equation of a square root function that has been shifted up 3 units and has been vertically stretched by a factor of 4?
Slide 2
What is the DOMAIN of the exponential parent function?
All real numbers
What is the inverse of the function f(x) = x3-7
f-1(x) = cbrt(x+7)
Question is on slide 13
Answer is on slide 14
What does it mean to be a parent function?
To be the most basic function, no transformations have happened to the function