Describe the Transformation
f(x) = x2 + 8
shifted up 8
The quadratic function translated down 3
f(x) = x2 - 3
Write the vertex and describe if it is a minimum or maximum:
f(x) = (x - 1)2 - 5
(1, -5), minimum
What are all the x-values of the functions
Domain
a ____________ simple or basic function in the family
What is Parent Function
f(x) = lx - 4l
shifted right 4
The absolute value function translated to the left 7
f(x) = lx + 7l
Write the vertex and describe if it is a minimum or maximum:
g(x) = -|x +2| - 7
(-2, -7), maximum
What is the highest or lowest points on the graph?
Maximum and Minimum
It is denoted as f(x) = |x| and a V-shaped Function.
What is an Absolute Value
f(x) = 1/2x2 - 5
wider and down 5.
The quadratic function reflected across the x-axis and translated down 5
f(x) = -x2 - 5
Write the vertex and describe if it is a minimum or maximum:
g(x) = |x - 1|
(1, 0), mimumum
What is the location where the graph crosses the x-axis?
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
f(x) = (x - 8)2 - 10
Write the vertex and describe if it is a minimum or maximum:
f(x) = - (x + 2)2 - 6
(-2, -6) maximum
What is the location where the graph crosses the y-axis?
y-intercept
What makes a graph narrower?
Absolute value of a>1
f(x) = -3lx - 5l - 6
What is reflection across x-axis, narrower, translates right 5 and down 6
The absolute value function reflected, vertically stretched by 2, left 3, and up 4
What is g(x) = -2lx + 3l + 4
Write the vertex and describe if it is a minimum or maximum:
g(x) = -3x 2 + 7
(0, 7), maximum
Name all the 7 transformations, movements or directions of functions.
Left, Right, Up, Down, Compress, Stretch and Reflects.
What makes a graph wider?
0>a>1