Describe the Transformation
Write an equation where the translation is up 8.
f(x) = x2 + 8
What is g(x) = x2 - 3
A quadratic function that is translated down 3.
Write an equation with the given Domain and Range.
D:(-infinity, infinity) R: [-5, infinity)
f(x) = x2 - 5
What is Domain?
All the x-values of the functions.
a ____________ is a simple or basic function in the family.
Parent Function.
Write an equation that translates to the right 4.
f(x) = lx - 4l
What is f(x) = lx + 7l
The absolute value function is translated to the left 7.
Write the equation with the given Domain and Range.
D: [-2, infinity) R: [0, infinity)
h(x) = sqrt(x + 2)
What are Maximum and Minimum?
The highest and lowest points on the graph.
What is an Absolute Value?
It is denoted as f(x) = |x| and a V-shaped Function.
Write an equation that the is Compression by 1/2 and down 5.
f(x) = 1/2x3 - 5
What is h(x) = -x^3 - 5
The cubic function is reflected across the x-axis and translated down 5.
Write an equation with the given Domain and Range.
D: (-infinity, infinity) R: [0, infinity)
g(x) = |x - 1|
What are x-intercepts?
A point that touches the x-axis.
What shape does the graph of f(x) = x2 looks like?
U - Shaped or also known as Parabola.
Write an equation that is a reflection across the x-axis which translates left 9 and down 2.
f(x) = -(x + 9) - 2
What is f(x) = sqrt(x - 8) - 10
The square root function is translated to the right 8 and down 10.
Write an equation with the given Domain and Range.
D: (-infinity, infinity) R: (-infinity, infinity)
f(x) = (x + 2)3 - 6
What are y-intercepts?
All the y-values of the function.
What is the name of this parent function f(x) = 1/x
Rational Function or Inverse Function.
Write an equation that is a reflection across the x-axis, stretches by a factor of 3, and translates right 5 and down 6.
f(x) = -3lx - 5l - 6
What is g(x) = -2lx + 3l + 4
The absolute value function reflected, horizontal shrink by 2, left 3, and up 4.
Write an equation with the given Domain and Range.
D: (-infinity, infinity) R: [7, -infinity)
g(x) = -(x - 5)2 + 7
Name all the 7 transformations, movements, or directions of functions.
They are Left, Right, Up, Down, Compression, Stretching, and Reflection.
What is the name of the parent function f(x) = 2x
Exponential.