Functions and Relations
Parents and Transformations
Factoring
Quadratic Formula
Points of Interest (graphing)
100
Between a function or relation, the following is an example of what?
What is a Function?
100
This is the parent function of g(x)=(x-3)2+6
What is quadratic (or x2)?
100
This is the factorization for x2-9.
What is (x+3)(x-3)?
100
This is the type and how many solutions you have if the discriminant is a positive real number
What are 2 real solutions?
100
This is the vertex of f(x)=(x+3)2+5
What is (-3,5)?
200
Between a function and relation, the following is an example of a _____________.
What is a relation?
200
This is the parent function of g(x)=-x3+6
What is the cubic function?
200
This is the factorization for x2+x-30
What is (x-5)(x+6)?
200
This is the type and how many solutions you have if the discriminant is negative
What are two complex solutions?
200
What is the y-intercept of f(x)=2x2+5x-6?
What is (0,-6)?
300
Following is an example of a relation. Explain why.
Because it does not pass the vertical line test.
There are inputs that go to more than one output.
300
g(x)=x2+8 has this transformation to the parent function f(x)=x2.
What is a Vertical Shift up 8.
300
This is the factorization for x2-6x
What is x(x-6)?
300
Find the discriminant for 3x2-6x+5
What is -24?
300
What are the zeros/x-intercepts for f(x)=x2+9x+10?
What are (-9,0), (-1,0)?
400
Evaluate f(x)=x2+8 for f(6).
What is 44?
400
g(x)=-x3-9 has these transformations done to the parent function f(x)=x3
What is a x-axis reflection and vertical shift down 9?
400
These are the zeros for f(x)=x2+5x+6
What is -2 and -3?
400
Find the solutions to 5x2-4x-1
What are 1 and 1/5?
400
This is the axis of symmetry of the function f(x)=(x-9)2+6
What is x=9?
500
Evaluate f(x)=|x-6|-10 for f(-3).
What is -1?
500
g(x)=3|x-4|+5 has these transformations to the parent function f(x)=|x|.
What are a vertical stretch by 3, right 4, and up 5?
500
This is the factorization for 4x2+12x+9
What is (2x+3)(2x+3)?
500
Find the solutions 3x2+8x+3
What is (-4 +/- sqrt(7))/3 ?
500
Put the following equation into vertex form: y=x2+10x+24
What is y=(x+5)2-1?