Parent Functions and Transformations
What parent function does the rule f(x) = |x| belong to?
Absolute Value Parent Function
What collegiate sports did Coach Horton play?
Softball and basketball
What is slope intercept form?
y = mx + b
When do we celebrate Pi day?
March 14th
What is Coach Horton’s favorite college football team?
University of Alabama
Write a function g whose graph represents the indicated transformation of the graph of f. f(x) = 3x; translation 5 units up
g(x) = 3x + 5
What is point-slope form?
y - y1 = m(x - x1)
What do you call the perimeter of a circle?
Its Circumference
Identify the function family to which g belongs. Compare the graph of g to the graph of its parent function. g(x) = x + 2
Linear; The graph is translated up 2 units of the graph of its parent function.
Reflection in the x - axis. What are the reflected points for (-2,0) and (0,2)?
(-2,0) and (0,-2)
What does “m” represent relating to slope-intercept form?
Slope
What sports does Coach Horton coach?
Softball and basketball
Graph g(x) = 3x2 and its parent function. Then describe the transformation.
The graph of g(x) = 3x2 is a vertical stretch of the graph of the parent quadratic function by a factor of 3.
Write a function g whose graph represents the indicated transformation of the graph of f. f(x) = - |x + 2| - 1; reflection in the x-axis
g(x) = | x + 2 | + 1
What does “b” represent relating to slope-intercept form?
Y-intercept
What does PEMDAS stand for?
Parentheses, exponents, multiplication, division, addition, and subtraction
Graph g(x) = |x + 1| and its parent function. Then describe the transformation.
The graph of g(x) = |x + 1| is a horizontal translation 1 unit left of the graph of the parent absolute value function.
Let f(x) = 4x - 9. Write a function g whose graph is a translation 5 units up of the graph of f.
The translated function is g(x) = 4x - 4
What is Coach Horton’s late work policy called?
The 5 day rule.
Who invented algebra?
An x-pert :)