Describe the Change
f(x) = x2 + 8
What is translation up 8.
The f(x) = x2 translated down 3
What is g(x) = x2 - 3
Uses brackets [ ] and parentheses ( ) to describe the upper and lower bounds of domain and range
What is interval notation.
All of the x-values of the functions
What is Domain
The original or basic function in the family
What is a parent function
f(x) = |x - 4|
What is translation to the right 4
The f(x) = |x| translated to the left 7
What is f(x) = |x + 7|
Uses the symbols ≥, ≤, [, ], ● for upper or lower bounds of domain and range.
What is inclusive or closed.
The highest and lowest points on the graph
What are Maximum and Minimum?
The name of the parent function f(x) = x
What is a linear function.
f(x) = ½(x)3 - 5
What is vertical compression by 1/2 and down 5.
The f(x) = x3 reflected across the x-axis and translated down 5
What is h(x) = - x3 - 5
Uses the symbols <, >, ≥, and ≤ to describe the upper and lower bounds of domain and range
What is inequality notation.
A point that touches the x-axis
What is an x-intercept.
The name of the parent function f(x) = x2
What is a quadratic function.
f(x) = - (x + 9)½ - 2
What is reflection across x-axis, translates left 9 and down 2.
The f(x) = x½ translated right 8 and down 10
What is f(x) = (x - 8)½ - 10
Uses the symbols >, <, (, ), ○ for upper or lower bounds of domain and range.
What is exclusive or open.
All of the y-values of the function
What is range.
The shape of the graph of f(x) = x2.
What is U-shaped or a Parabola
f(x) = - 3|x - 5| - 6
What is reflection across x-axis, stretch by a factor of 3, translates right 5 and down 6
The f(x) = |x| reflected over x-axis, vertical compression by ½, left 3, and up 4
What is g(x) = -½|x + 3| + 4
Uses braces { } for lists and inequalities to describe the upper and lower bounds of domain and range
What is set notation.
All 7 transformations or movements or directions of functions.
What are Left, Right, Up, Down, Compress, Stretch and Reflects.
The name of the parent function f(x) = 2x
What is an exponential function.