Transformations of Quadratic Functions
Parent Functions
Even and Odd Functions
Ms. Lin Trivia
100
Identify the a, h, and k values of the function below.
f(x)= -4(x+3)2-2
a= -4
h= -3
k= -2
100
What is the general equation for a quadratic function?
f(x)= a(x-h)2+k
100
Is the function shown even, odd, or neither? Why?
This function is odd because there is 180o rotational symmetry/symmetrical when reflected about the origin.
100
What other subject does Ms. Lin teach?
Algebra 1
200
Factor the function below. Then, identify the x-intercepts.
f(x)= x2-10x+16
1. Factored Form: f(x)= (x-8)(x-2)
2. X-Intercepts: 8, 2
200
What family of function does this graph belong to? What is its locator point?
Family: Exponential Function
Locator Point: (h, k) -> (0, 3)
200
Show that the function below is even algebraically.
f(x)=2x2-3
f(-x)=2(-x)2-3
=2x2-3
Since it is the same, meaning f(-x)=f(x), then the function is even.
200
What is Ms. Lin's first name?
Melody
300
Complete the square and graph the function below. Be sure to always start with your vertex.
f(x)= x2-10x+16
f(x)= (x-5)2-9
300
What family of functions does the function belong to? Then, describe what a, h, and k of the function below do.
f(x)=-|x-4|+2
Family: Absolute Value Function
a=-1 Faces downwards, congruent to parent function
h=4 Shifts right 4 units
k=2 Shifts up 2 units
300
Is the function below even, odd, or neither?
f(x)=x5-x
Odd
f(-x)=(-x)5-(-x)
=-x5+x
=-(x5-x)
Since f(-x)=-f(x), the function is odd.
300
Where did Ms. Lin go to college? What was her major?
College: UCLA
Major: Mathematics
500
Average the X-Intercepts of the function below to find the vertex of the graph.
f(x)=x2+4x+3
Vertex: (3.5, 29.25)
500
What are the asymptotes of the function below?
f(x) -2/x
x=0, y=0
500
Is the function below even, odd, or neither?
f(x)=(x+1)2
Neither!
500
What pets does Ms. Lin have? Bonus points if you know their names.
2 King German Shepards and a tarantula!