Function Graphs
Function Transformations
Graphing in Vertex Form
Graphing in Standard Form
Mixed/Random
100
What is the the line that cuts a parabola into equal halves called?
parabola
100
Given the equation, describe the transformations.
y=x^2+1
Up 1
100
What is vertex form?
y=a(x-h)2+k
100
Fill in the blank:
If a is positive, the graph opens ______ and is the ______________ value of the graph
Up
Minimum
100
Which of the following is the widest graph?
y=x2, y=5x2, y=1/3x2
y=1/3x2
200
What is the domain of all quadratic functions?
All Real #'s
200
Given the equation, describe the transformations:
y=1/2(x+1)^2-2
Vertical shrink by a factor of 1/2, left 1, down 2
200
Identify the vertex given the quadratic equation:
y=(x-4)^2-1
(4, -1)
200
What is the y-intercept of the quadratic equation
y=2x^2+8x-12
(0, -12)
200
The graph of y=-3x2 opens _________;
Therefore, the y-coordinate of the vertex is the _____________ value.
down
maximum
300
Describe the transformations that take place. The solid graph is the parent function and the dotted graph is the transformation:
Right 2, down 1
300
Given the transformations from the parent function, write the quadratic equation:
Right 6, down 2
y=(x-6)^2-2
300
Write the equation for the axis of symmetry for the quadratic equation:
y=(x+2)^2-1
x=-2
300
What is the x-value of the vertex for the quadratic equation (aka, what is the AOS?!)
y=3x^2-12x+4
x=2
300
When describing transformations, when a>1 we have a ______________ ______________ in the graph.
When 0<a<1, we have a __________________ _______________ in the graph.
vertical stretch (think skinnier)
vertical compression (think wider)
400
Describe the transformations that take place. The solid graph is the parent function and the dotted graph is the transformation:
Reflection over the x-axis, left 1, up 3
400
Given the transformations from the parent function, write the quadratic equation:
Reflection over the x-axis, left 7, up 3
y=-(x+7)^2+3
400
Which of the following is the correct graph of the quadratic equation:
y=4(x-3)^2+1
B
400
Find the y-value of the vertex for the quadratic equation
y=-2x^2+8x-6
y=2
400
Where did Mrs. Henderson go to High School?
And where did she go to college?
Crandall HS - Go Pirates!
Texas A&M! Whoop!
500
****DOUBLE JEOPARDY!!***** What are the following characteristics of the function?
Vertex, axis of symmetry, max or min, domain & range
Vertex:(3, 1)
aos: x= 3
max or min: min 1
domain: all real numbers
range: y is greater than or = to 1
500
Given the transformations from the parent function, write the quadratic equation:
Reflection over the x-axis, vertical stretch by a factor of 4, left 2, and up 2
y=-4(x+2)^2+2
500
Write the equation of the quadratic equation given the graph below:
y=-(x-2)^2+4
500
Which of the following is the correct graph of the quadratic equation?
y=x^2+2x-1
C
500
Name at least three sports/groups/activities Mrs. Henderson was a part of in High School
There are so many... we will discuss....