name the parent function
a "U" shaped graph: f(x) = x2
Quadratic
f(x) = -2x + 5
Linear or Line
y=a(x+h)2+ k : what directional shift does "h" indicate?
Horizontal
What is the translation: f(x) = l(x - 4)l
right 4
the function denoted as f(x) = l x l. It is a V-shaped function.
Absolute Value function
f(x) = 2(x-1)3 + 2
cubic
y=a(x+h)2+ k : what directional shift does "k" indicate?
Vertical
Write a new equation of f(x) = √(x) reflected across the x-axis
f(x) = -1√(x)
what is the name of the function f(x) = x3
cubic
f(x) = (1/x-4) + 2
Reciprocal
y=a(x+h)2+ k : what does a negative "a" indicate?
Reflection across the x-axis
State all transformations from parent function.
lx+2l -3
Left 2
Down 3
what is the name of the parent function f(x) = √(x)
Square root
f(x)= √(x+6)+3
Square Root
state the translations:
y= -(x-3)2 + 2
reflection
right 3
up 2
Given parent function f(x) = x2
describe all transformations g(x) = (x-3)2 + 1
Right 3
Up 1what is the name of the function f(x) = 3x
(or f(x) = ax)
Exponential function
f(x) = l(x -3)l +2
Absolute Value
State the translations:
y = 1 / (x-4) + 1
right 4
up 1
Write a cubic function with the following transformations:
- left 4 units
- down 2 units
- reflected across the x-axis
f(x) = -(x+4)3 -2