3.1 Graphing Quadratic Functions
3.2 Graphing Quadratic Functions
3.3 Complex Numbers
3.4 Solving Quadratic Equations by Factoring
3.5 Solving Quadratic Equations by completing the square
3.6 Quadratic Formula & Discriminant
3.7 Quadratic Inequalities
3.8 Solving Linear & Non Linear Equations
100
What is another name for a quadratic graph?
What is a parabola?
100
The is the standard form of a quadratic function?
What is f(x)=ax2+bx+c?
100
A number that is expressed in terms of the square root of a negative number
What is imaginary numbers?
100
a number that divides another number, leaving no remainder.
What is a factor
100
What is a property used to solve quadratic equations by eliminating the squares to isolate the variable being solved for?
What is the square root property?
100
2x2-x-15=0 solved using the quadratic formula.
What is x=-5/2 and x=3
100
An inequality of the form y>ax2+bx+c, y>ax2+bx+c, y<ax2+bx+c, or y<ax2+bx+c
What is a quadratic function?
100
The parent graph for a quadratic relation.
What is x=y2
200
Does f(x)= -9x2-12x+19 have a maximum or minimum value?
What is a maximum?
200
The vertex of a quadratic equation
What is the maximum or minimum point on the equations parabola?
200
A number of the form a+bi, where "a" and "b" are real numbers.
What is complex numbers?
200
any equation that can be rearranged in standard form as where "x" represents an unknown value, and "a","b",c" represent known numbers where a≠0.
What is a quadratic equation?
200
The steps to completing the square
What is...
Step 1: Divide the equation by "a"
Step 2: Move the constant term to the right side of the equation
Step 3: Take half of the coefficient for x and square it
Step 4: Add the square to both sides of the equation
Step 5: Factor the perfect square trinomial
Step 6: Take the square root of both sides?
200
x2-6x+21=0 solved using the quadratic formula.
What is 3+2i√3
200
The inequality y<-x2+4x-6 where the graph is shaded
What is inside the parabola?
200
y=x2-5 y=x-3
solved by substitution or elimination
What is x=-1 or x=2?
300
The domain and range of the function f(x)=-2x2
What is Domain= all real numbers and Range={y|y<0}?
300
The domain and range of f(x)=x2+6x+8
Range What is {y|y>-1}?
Domain is all real numbers
300
√-48 simplified
What is 4i√3
300
x2=7x solved.
What is (0,7)
300
Solving x2-18x+81=49 with the square root property
What is (16,2)?
300
Number of roots and types of roots of x2-8x+16=0
What is one rational root?
300
The side of the graph (quadrant) that the inequality -(x-6)2>y is on as well as where it is shaded.
What is the right side 4th quadrant, shaded inside the parabola
300
x-2y=8 x+y=5
solved by substitution
What is x=6 and y=-1?
400
The axis of symmetry equation of the function
f(x)=(x-2)(x-4)
What is y=3?
400
Does f(x)=7x2-21x+8 have a maximum or minimum value?
What is a minimum?
400
√-5 x √-10
What is -2√5?
400
x2+x-30=0 solved.
What is (5,-6)
400
Solving x2-8x+16=-36 using the square root property
What is
x=4+-6i?
400
The discriminate of x2-11x-26=0
What is 225?
400
y>x2-8x+17 graphed.
400
y=6x+4 y=6x-2
solved by substitution
no solution
500
The vertex minimum of the function f(x)=x2+6x+8
What is (-3,-1)?
500
The maximum/minimum of the function
f(x)=7x2-21x+8
What is (0,-13) or -13
500
5/(3+1i)
3/2-i/2
500
x2 - 36 = 0 solved
What is (-6,6)
500
What is x2-4x+12=0 solved?
What is x=2+ 2i sqrt 2 and 2- 2i sqrt 2
500
Number of roots and types of roots of 3x2-2x=0
What is 2 rational roots
500
y>(x+3)2-2 graphed
500
2x-y=12 x-y=3
Solved by substitution
What is x=9 y=6