Name That Parent Function
Graphs
Equations & Transformations
Quadratics
Domain, Range, & Vertex, OH MY!
100
A _______ ______ is the simplest function of the family.
What is Parent Function?
100
Graph the function, f(x) = 4x, and state the function family.
*graph 5 points
(see graph). What is Linear Function?
100
State the transformations for the function, f(x)=1/2|x−9|−1.
What is V.C. by 1/2, right 9 and down 1?
100
Find the axis of symmetry: f(x)=x2−16x+36.
What is x=8?
100
State the domain.
What is ℝ?
200
A ______ _____ has a parent function of f(x) = x, and passes through all points with coordinates (a,a).
What is Linear Function?
200
Graph the function, f(x) =1/3|x|, and state the function family.
*graph 5 points.
(see graph). What is Absolute Value Function?
200
State the transformations for the function, f(x)=−5(x+10)2+11.
What is ROX, V.S. by 5, left 10, and up 11?
200
Find the vertex: f(x)=x2+10x+25.
What is (-5, 0)?
200
State the range.
What is
y>=1?
300
The ______ ________ ______, denoted as f(x) = l x l, has a V-shaped graph.
What is Absolute Value Function?
300
Graph the function, f(x) = (x−2)2+1, and state the function family.
*graph 7 points
(see graph). What is Quadratic Funciton?
300
The absolute value equation that is translated right 5 units.
What is f(x)=|x−5|?
300
Find the vertex: f(x)=−3x2+15.
What is (0, 15)?
300
State the range.
What is
y<=7?
400
Name of graph made by the function, f(x) = x2.
What is Parabola?
400
Graph the function, f(x)>−2|x+3|+5, and state the function family.
*graph 7 points
(see graph). What is Absolute Value Function?
400
The quadratic equation that is reflected over the x-axis, and translated down 4 units.
What is f(x)=−x2−4?
400
Convert to vertex form AND state the vertex: y=x2−20x+36
What is y=(x−10)2−64 and (10, -64)?
400
State the vertex: f(x)=3/4|x-2|+2.
What is (2,2)?
500
Name the function that has the parent function, f(x)=x2.
What is Quadratic Function?
500
Graph the function, f(x)<−x2+6x−5, and state the function family.
*graph 7 points
(see graph). What is Quadratic Function?
500
The quadratic equation that is vertical compressed by a factor of 1/3, translated left 8 units, and translated up 7 units.
What is f(x)=1/3(x+8)2 + 7?
500
Convert to vertex form AND state the vertex: f(x)=−4x2+24x−30.
What is f(x)=−4(x−3)2+6 and (3,6)?
500
State the vertex: f(x)=-(x+4)2-7.
What is (-4,-7)?