Vocabulary
Parent Functions
Graphing
Equations and Transformations
Grab Bag
100
The point(s) where a function crosses an axis.
Intercepts
100
What parent function is represented by the equation: f(x) = |x|
Absolute Value Function
100
The parent function for this is type of graph is:
y=√x
100
What is the vertex for this equation?
f(x) = x2+5
(0, 5)
100
The shape created by a quadratic function and the name of the point at it's peak or trough (dip).
Parabola
Vertex
200
Name 7 different types of functions
Linear, Exponential, Quadratic, Cubic, Square Root, Rational, Absolute Value, Sine, Cosine, Tangent, Logarithmic, Piecewise...
200
What parent function is represented by the equation: f(x) = x3
Cubic Function
200
The parent function for this type of graph is:
y=x3
200
Describe the transformation of the function: y= -(x+5)3
Reflected over the x-axis and translated left 5.
200
What are the three types of rigid transformations?
Rotation, Reflection and Translation
300
This feature of a function represents the set of all possible x-values.
Domain
300
What parent function is represented by the equation: f(x) = x2
Quadratic Function
300
The equation for this translated quadratic function is:
y=(x)2-4
300
Describe the transformation of this function:
f(x) = 2|x|+3
Compressed (2x steeper) and translated up 3 units.
300
What are three different forms of a quadratic equation?
Standard y=ax2+bx+c
Factored y=(x+a)(x+b)
Vertex (graphing) y=a(x-h)2+k
400
What is the name of the coordinate represented by (h,k)?
Locator Point
400
The equation for a parent function that creates a straight line is:
y=x
400
This equation for this translated absolute value function is:
y=|x-1|
400
Write an equation for a linear function that has a slope of 3/4 and has been translated from (0,0) to (-4,-6).
y=3/4(x+4)-6
400
Write an equation for a cubic function that has an a-value of 4 and has been translated down 10 units.
y=4x3-10 or y=4(x-0)3-10
500
A vertical or horizontal gap in a function where there is no input or output.
Asymptote
500
This parent function is like half of a parabola on it's side:
Square Root Function
500
Draw the graph of an absolute value function that has been reflected over the x axis and translated left 3 units.
Show at least three points.
y=-|x+3|
Teacher will validate.
500
Rewrite this quadratic function in graphing form by completing the square. Then describe the transformation.
f(x) = x2 +6x+5
f(x) = (x+3)2 - 4
Translated left 3 units and down 4 units.
500
Draw the graph of a square root function that has a locator point at (7, -8).
Show at least 3 points.
Teacher will validate.
y=√(x-7)-8