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
f(x) = lx - 4l
What is translates to the right 4
The absolute value function translated to down 7 and reflected about the y-axis.
What is f(x) = l-xl - 7
h(x) = sqrt(x + 2)
D: [-2, infinity) R: [0, infinity)
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 Compression by 1/2 and down 5.
The cubic function reflected across the x-axis and translated down 5 and left 2
What is h(x) = -(x+2)3 - 5
g(x) = |x - 1|
D: (-infinity, infinity) R: [0, infinity)
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
What is reflection across x-axis, translates left 9 and down 2.
The square root function with a vertical shrink by a factor of 2/7, translated right 8 and down 1/4
What is f(x) = sqrt(x - 8) - 10
f(x) = (x + 2)3 - 6
D: (-infinity, infinity) R: (-infinity, infinity)
All the y-values of the function
What is y-intercepts
What is the name of the this parent function f(x) = 1/x
What is Rational Function or Inverse Function
f(x) = -3l2x - 5l - 6
What is reflection across x-axis, vertical stretch by a factor of 3, translates right 5 and down 6, and horizontal shrink by a factor of 1/2
The absolute value function reflected, horizontal shrink by 2, left 3, and up 4
What is g(x) = -2lx + 3l + 4
g(x) = -(x - 5)2 + 7
D: (-infinity, infinity) R: [7, -infinity)
Name all the 7 transformations, movements or directions of functions.
What is Left, Right, Up, Down, Compress, Stretch and Reflects.
What is the name of the parent function f(x) = 2x
What is Exponential