Describe the Transformation
f(x) = x2 + 8
What is translation up 8.
The quadratic function translated down 3
What is g(x) = x2 - 3
f(x) = x2 - 5
D:(-infinity, infinity) R: [-5, infinity)
All the x-values of the functions
What is Domain
a ____________ simple or basic function in the family
What is Parent Function
h(x) = (x + 2)2
D: (-infinity, infinity) R: [0, infinity)
The highest and lowest points on any graph
What is Maximum and Minimum?
It is denoted as f(x) = |x| and a V-shaped Function.
What is an Absolute Value
f(x) = (1/2)x2 - 5
What is Vertical Compression by 1/2 and down 5.
The quadratic function reflected across the x-axis and translated down 5
What is h(x) = -x2 - 5
g(x) = |x - 1|
D: (-infinity, infinity) R: [0, infinity)
Name one increasing, and one decreasing interval from the function.
Inc: (2,4) Dec: (0,2) or (5,8)
What is the U-shape curve of a quadratic called?
Parabola
f(x) = -|x + 9| - 2
What is reflection across x-axis, translates left 9 and down 2.
The absolute value function translated right 8 and down 10
What is f(x) = |x - 8| - 10
f(x) = x - 6
D: (-infinity, infinity) R: (-infinity, infinity)
Name a maximum coordinate and a minimum coordinate from the function graphed.
Max: (-5,1),(0,3),(4,1) Min: (-3,-2)
What is the name of the this parent function f(x) = x
What is Linear Function
f(x) = l-3x - 5l - 6
What is reflection across y-axis, horizontal compression by a factor of 1/3, translates right 5 and down 6
The absolute value function reflected over x-axis, horizontal stretch by 2, left 3, and up 4
What is g(x) = -l1/2x + 3l + 4
g(x) = -(x - 5)2 + 7
D: (-infinity, infinity) R: (-infinity, 7]
Name one positive, and one negative interval.
Pos: (-infinity, -2), (3, infinity) Neg: (-2,3)
What is the name of the parent function f(x) = x3
What is Cubic Function