Shifts
f(x+2)+4 describes what shifts?
What is left 2, up 4
What would the point (4,-2) change to after a reflection over the x-axis
What is (4,2)
The function f(5x) has what dilation?
What is a horizontal compression by a factor of 5.
For an odd function, opposite inputs have what type of outputs?
What is opposite outputs
Describe the transformations:
2f(x-4)+7
Vertical stretch of 2, shift right 4 units, and up 7 units.
f(x) has a turning point at (5,-8). If g(x)=f(x-7)+3, what is the turning point of g(x).
What is (12, -11)
What would the function f(x)= -4x2-3x-7 change to after a reflection in the x-axis
What is 4x2+3x+7
What would the point (4,2) change to after the transformation 2f(x)?
What is (4,4)
If f(x) is an even function and f(12) = 5, then what does f(-12) equal?
What is 5.
What would the point (-2,6) change to after the following transformation?
f(2x -3)
What is (2,6)
Would the following transformation change the domain, range, or both?
f(x)-9
What is the range?
What would the function f(x)= -4x2-3x-7 change to after a reflection in the y-axis
What is -4x2+3x-7
The function 1/2f(1/2x) has what dilations?
Vertical compression by a factor of 2 and a horizontal stretch by a factor of 2.
An even function has symmetry about?
What is the y-axis.
Describe the transformations: -3f(5x)-8
Reflection across the x-axis, vertical stretch of 3, down 8 units.
f(x) contains the point (-4, 5). What would the new point be following this translation.
f(x-4)-5
What is (0,0)
What would the point (7,-2) change to after a reflection over the x-axis and the y-axis?
(-7,2)
Write an equation for a function that has undergone a vertical stretch by a factor of 7 and a horizontal stretch by a factor of 5.
What is 7f(1/5x)
Determine if the function is odd, even, or neither.
f(x) = 3x+1
What would the point (4,8) change to after the following transformation 1/4f(4x-2)+9
(3, 11)
Write the equation of a function f(x) after a shift of 3 units left and 2 units down
f(x+3)-2
Would the function f(x) =x2 change after a reflection over the y-axis? Explain.
No because -x squared is still x2.
If a function has a y-intercept of 3 what is the new y-intercept after a vertical compression by a factor of 3
What is 1
f(x) is an odd function and f(3)= -4. What is 5f(3)-f(-3)?
What is -24.
Describe the transformations (there are 5): 1/3f(-2x+5)-14
Reflection across the y-axis, vertical compression by a factor of 3, horizontal compression by a factor of 2, shift left 5, and down 14.