Graphing Quadratic Functions
Solve By Factoring
Solve By Finding Square Roots
Complex Numbers
Complete the Square, Quadratic Formula and the Discriminant
100
A ___________ is a function that can be written in the standard form y=ax^2+bx+c, where a does not equal 0.
What is a quadratic function?
100
Another useful form of a quadratic function is the __________________, y=a(x-h)^2+k.
What is vertex form?
100
A number r is a ______________ of a number s if r^2 = s.
What is square root?
100
Two complex numbers of the form a+bi and a-bi are called ____________________.
What is complex conjugates?
100
The process by which you add a term to a binomial to create a perfect square trinomial is called _________________________.
What is completing the square?
200
The lowest or highest point on a parabola is called the ____________.
What is the vertex?
200
If the graph of a quadratic function has at least one x-intercept, then the function can be represented in ___________________________, y=a(x-p)(x-q).
What is intercept form?
200
If a fraction has a square root in the denominator, to rationalize the denominator you must multiply by the ________________.
What is conjugate?
200
Write the expression as a complex number in standard form: (3+i)(5-i)
What is 16+2i?
200
The quadratic formula
What is x=[-b+/- sqrt(b^2-4ac)]/2a?
300
The ________________ divides the parabola into mirror images and passes through the vertex.
What is the axis of symmetry?
300
A ______________ is a function with two terms. A _______________ is a function with three terms.
What is binomial and monomial?
300
Solve 3x^2+5=41 using square roots.
What is x=2sqrt(3) and x=-2sqrt(3)?
300
Write the expression as a complex number in standard form: (5+2i)/(3-2i)
What is (11+16i)/13?
300
What is the discriminant and what information does it give you?
What is b^2-4ac, b>0 two real solutions, b=0 one real solution, b<0 two imaginary solutions?
400
In standard form, a quadratic function has a _______________________ if a>0 and a _______________________ if a<0.
What is minimum value and maximum value?
400
Solve the equation by factoring: r^2+2r=80
What is r=-10 and r=8?
400
Solve using square roots: 4(x-1)^2=8
What is x=1+sqrt(2) and x=1-sqrt(2)?
400
Solve the equation: x^2 = -28
What is x = 2sqrt(7)i and x = -2sqrt(7)i?
400
Solve by completing the square: x^2+6x-3=0
What is x = -3 + 2sqrt(3) and x = -3 - 2sqrt(3)?
500
Graph the function. Label the vertex and axis of symmetry. y=3x^2-6x+4
See instructor for answer.
500
Solve the equation by factoring: -3y+28=y^2
What is y=-7 and y=4?
500
Solve by square roots: 2(x+2)^2-5=8
What is x = -2 + [sqrt(26)/2] and x = -2 -[sqrt(26)/2]?
500
Solve the equation: 2x^2+31=9
What is x = sqrt(11)i and x = -sqrt(11)i?
500
Use the quadratic formula to solve the equation: s^2 = -14-3s
What is s = [-3 +/- i sqrt(47)]/2?
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