Transformations
Quadratic Formula
Factoring
Complete the Square
Features of Graphs
100
f(x) + 7 = x2 + 7
What is a shift of 7 up?
100
This is the quadratic formula
What is
(-b+-sqrt(b^2-4ac))/(2a)
?
100
This is the first step of factoring
identify a, b, and c
100
(h, k)
What is the vertex?
100
The center point of a parabola
What is the vertex?
200
f(x) - 5 = x2 - 5
What is a shift of 5 down?
200
This is b2-4ac
What is the discriminant?
200
The factor of x2+7x+10
What is (x+5)(x+2)?
200
These two things can be found by completing the square
The vertex and the zeros of the functions
200
The vertex is this when (a) is negative
What is the maximum?
300
f(x+6) = (x + 6)2
What is a shift of 6 to the left?
300
This is what the solutions are called if there are no real number solutions
What are complex solutions?
300
The factor of x2+2x-3
What is (x+3)(x-1)
300
This equals
(b/2)^2
of x2+8x+9
What is 16?
300
The line that cuts down the middle of a parabola
What is the axis of symmetry?
400
f(x-8) + 11 = (x - 8)2 + 11
What is a shift of 8 to the right and 11 up?
400
These are the solutions of x2+4x+3=0 using the quadratic formula
What are x=-1 and x=-3?
400
The factors of 2x2+13x+6
What is (x+6)(2x+1)?
400
x2+6x+2=0 after you complete the square
What is (x+3)2=7?
400
These are also know as the "zeros" of a function
What are x-intercepts?
500
-f(x) = -x2
What is a reflection over the x-axis?
500
These are the solutions of 5x2+7x-5=0 using the quadratic formula
What is
x= (-7+-sqrt(149))/10
?
500
The factors of 3x2+7x-6
What is (x+3)(3x-2)?
500
2x2+8x+5=0 after you complete the square
What is 2(x+2)2=3
500
The interval at which the function is increasing
What is (-oo, -1)?