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) = 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 quadratic function reflected across the x-axis, vertical stretch by a factor of 2 and translated down 5
What is h(x) = -2x2 - 5
g(x) = |x - 1|
D: (-infinity, infinity) R: [0, infinity)
The zeroes or roots of a quadratic function
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.
f(x) = cubert(x + 2) - 6
D: (-infinity, infinity) R: (-infinity, infinity)
All the y-values of the function
What is the name of the this parent function f(x) = abx?
What is Exponential Function
f(x) = -3lxl
What is reflection across x-axis and vertical stretch by a factor of 3
The absolute value function reflected over x, left 3, and up 4
What is g(x) = -lx+3l + 4
g(x) = -(x - 5)2 + 7
D: (-infinity, infinity) R: [7, -infinity)
Formula for Axis of Symmetry (x of vertex)
What is -b/2a
What is the name of the parent function f(x) = 2x
What is Exponential