Translation
The translations which result from the equation
y=f(x+4)-9
.
What is 4 units left and 9 units down?
The transformation on the graph y = f(x) when it becomes y = f(2x).
What is horizontal compression by a factor of 1/2?
The order in which transformations must be applied.
What is stretches/compressions, reflections, and then translations?
The line across which the inverse is reflected.
What is y = x?
This type of transformation changes the graph's location, but not it's shape or orientation.
What is translation?
The equation of y = f(x) after a translation 6 units right and 10 units down.
What is y=f(x-6)-10 ?
The transformation(s) that must be performed before a translation.
What is stretch, compression, or reflection?
This creates a mirror image.
What is a reflection?
The inverse of the point (7,3).
What is (3,7)?
A point that remains unchanged after a transformation is applied to it.
What is an invariant point?
The coordinates of the new point after (5, -7) is transformed using the equation
y=f(x+3)-6.
What is (2, -13)?
The change in the graph when you perform the transformation of y=f(-x).
What is horizontal reflection, or reflection in the y-axis?
y=-f(x) causes a reflection in what axis?
What is the x-axis?
f-1(x) is the notation used to represent this.
What is the inverse of f(x)?
Alters the equation and any combination of, location, shape, or orientation of the graph.
What is a transformation?
The point (-3, 8) is transformed to the point (7,1) using this equation.
What is g(x)=f(x-10)-7 ?
The equation that results in the transformation of the point (5,1) to the point (-5,4).
What is g(x) = 4f(-x)?
The equation of the function that turns the point (2,2) into (3,-4) and (-10,5) into (-9,-10).
What is y=-2f(x-1)?
The domain is restricted to this in order to make the inverse of y=(x+2)2+3 a function.
What is
x<=-2 or x>=-2 ?
This test is used on a relation to determine whether it is a function or not.
What is the vertical line test?
The coordinate of the point on y = f(x) if the point (-3,1) lies on y=f(x-4)+9.
What is (-7,-8)?
The new coordinates of the point (9,6) after the transformation of g(x)=-2f(3x).
What is (3,-12)?
The new coordinates of the point (1,1) after y= f(x) is transformed to y=-2f[2(x-3)]+7.
What is (3.5,5)?
The inverse of f(x)=(x+3)2 +5.
What is
f^{-1}(x)=-3+-sqrt{x-5}?
It changes the shape of the graph, but does not affect the y-intercept.
What is a horizontal stretch, compression, or reflection?