Describe the Transformation
f(x) = x2 + 8
What is translation up 8.
The quadratic function translated down 3
What is g(x) = x2 - 3
The new y-intercept of the function f(x) = x - 5 after it is transformed to g(x)= f(x) + 4
(0, -1)
All the x-values of the functions
What is Domain
a ____________ simple or basic function in the family
What is Parent Function
The new y-intercept of the function f(x) = x2 +2x +3 after it is transformed to g(x)= f(x)-7
(0,-4)
The highest and lowest points on the 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) = 1/2x3 - 5
What is vertical shrink by 1/2 and down 5.
The cubic function reflected across the x-axis and translated down 5
What is h(x) = -x3 - 5
The new x-intercept(s) of the function f(x) = (x - 5)(x+6) after it is transformed to g(x)= f(x-3)
(8, 0) and (-3, 0)
A point that touches the x-axis
What is x-intercepts
What shape does the graph of f(x) = x2 looks like?
What is U - Shaped or also known as Parabola
f(x) = -(x + 9)2 - 2
What is reflection across x-axis, translates left 9 and down 2.
The quadratic function translated right 8 and down 10
What is f(x) = (x - 8)2 - 10
The new end behavior of the function f(x) = 2x2 after it is transformed to g(x)= -f(x) + 4
as x -> infinity, f(x) -> -infinity
as x -> -infinity, f(x) -> -infinity
All the y-values of the function
What is y-intercepts
The domain and range of this parent function is all real numbers.
What is a linear function.
f(x) = -3lx - 5l - 6
What is reflection across x-axis, vertical stretch by a factor of 3, translates right 5 and down 6
The absolute value function reflected, vertical shrink by 1/2, left 3, and up 4
What is g(x) = -1/2lx + 3l + 4
The new x-intercept(s) of the function f(x) = x2 + 19x +84 after it is transformed to g(x)= f(x+4)
x: (-11, 0) and (-16, 0)
Name all the 7 transformations, movements or directions of functions.
What is Left, Right, Up, Down, Shrink, Stretch and Reflects.
What is the name of the parent function f(x) = 2x
What is Exponential