Parent Functions
Transformations
Absolute Value Functions
Graphing Quadratics
Converting to Vertex Form
101
What is the vertex of our parent functions? (for absolute value & quadratic)
(0,0)
101
What is this transformation?
f(x+h)
Shift left "h" units
101
What do all absolute value functions look like on a graph?
a "V" or upside-down "V"
101
What do all quadratic functions look like on a graph?
"U" or upside down "U"
101
What is the maximum or minimum of the following?
h(t) = -0.5(t-4)2+8
8
102
What is the parent function of Absolute Value? (give the equation)
f(x) = |x|
102
What is this transformation?
f(x) - k
Shift down "k" units
102
What is the ordered pair that represents our vertex?
Vertex is (h, k), where h is a liar
102
True or false: the "a" value in a quadratic function represents the slope
FALSE
102
True or False:
All absolute value functions can be written as piecewise functions.
TRUE
103
What is the parent function of Quadratics? (give the equation)
f(x) = x2
103
What is this transformation?
k• f(x)
k times further from the x axis
103
What is the domain for all absolute value functions?
All Real Numbers
103
What is the domain for all quadratic functions?
All Real Numbers
103
How does the graph f(x+3) - 4 compare to the graph of f(x)?
It shifts f(x) left 3 units and down 4 units.
104
What is a function that would have one intersection with this graph?
Answers vary (same vertex, different "a" value)
104
What is this transformation?
f(kx)
1/k times further from the y axis
104
"a" is a negative number. What is the range of this function?
y ≤ h
104
Axis of Symmetry will always share the same ____ as the vertex.
x- coordinate
104
What is an x-intercept?
The point where the function touches the x-axis.
105
What is a function that would have one intersection with this graph?
Answers vary (same vertex, different "a" value)
105
What is this transformation?
-a • f(x), a is negative
Reflect over the x-axis
105
What is the general formula for vertex form of absolute value functions?
f(x) = a|x-h|+k
105
How do I know if a function opens up or opens down?
If the "a" value is positive, it opens up. If "a" is negative, it opens down.
105
How many intersections will the following two functions have?
f(x) = 3(x-2)2+3
f(x) = -3(x-2)2+3
1