Parent Functions
Transformations
Absolute Value Functions
Graphing Quadratics
Converting to Vertex Form
101
What is the parent function of Linear? (give the equation)
f(x) = x
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 vertex form of number 12?
f(x) = (x-10)2
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
How do you find the vertex of an absolute value equation in Vertex form?
Vertex is (h, k), where h is a liar
y = a|x-h|+k
102
How do you find the vertex of a quadratic equation in Vertex form?
Vertex is (h, k), where h is a liar
y = a(x-h)2+k
102
What is the vertex form of number 14?
f(x)=-(x-5)2+2
103
What is the parent function of Quadratics? (give the equation)
f(x) = x2
103
What is this transformation?
a • f(x), |a| > 1
Vertical Stretch
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
What is the vertex for problem 13?
(-1, -9)
104
Which function family is this parent graph?
Absolute Value
104
What is this transformation?
a • f(x), |a| < 1
Vertical compression
104
When "a" is positive, is the range "y ≥ __"
or "y ≤ __"?
y ≤ __
104
Axis of Symmetry will always share the same ____ as the vertex.
x- coordinate
104
What is the vertex for problem 15?
(3, -1)
105
Which function family is this parent graph?
Quadratic
105
What is this transformation?
-a • f(x), a is negative
Reflect over the x-axis
105
When "a" is negative, is the range "y ≥ __"
or "y ≤ __"?
y ≥ __
105
What is the vertex for number 8 on the study guide?
(4, 0)
105
What is the process for converting Quadratic Standard Form to Quadratic Vertex Form called? (Hint: 3 words)
Complete the Square