Quadratics 101
Everyone's Favorite.... FACTORING
Our Heroes... The Zeros
Alge-"bruh" & More
Get It From the Graph
100
What is the standard form of a quadratic equation?
y=ax^2+bx+c
100
Factor the following:
2x^2-28x
2x(x-14)
100
Another name for the zeros of a function.
x-intercepts or roots
100
Does the graph of
y=-3x^2+5x-12
have a minimum or a maximum?
Maximum
100
What is the coordinate of the vertex?
(3,-4)
200
Given the following quadratic equation,
y=x^2-5x+6,
what is the y-intercept?
6
200
What is the factored form of
x^2-49
(x+7)(x-7)
200
Given the following quadratic in factored form, find the zeros.
y=(x-5)(x+4)
x=5
x=-4
200
Given the equation
x^2+6x+8
determine the equation of the axis of symmetry algebraically.
x=-b/(2a)
x=-((6))/(2(1))
x=-3
200
What is the equation of the axis of symmetry?
x=-3
300
Does the graph of y=-x^2+5x open upwards of downards? Explain how you know.
Downwards. Lead coefficient ( a-value) is negative.
300
What are the three types of factoring we've learned? (You must name all three to get points)
GCF, DOTS, Trinomial (1AM)
300
Find the solutions to the equation below.
(2x-3)(x+2)=0
x=3/2
x=-2
300
Given the table below, determine the coordinates of the turning point.
(1,9)
300
What is the range of the graph shown?
y>=1
or
[1,oo)
400
What is the feature of the graph called in which a quadratic reflects itself?
The axis of symmetry
400
Factor the following:
x^2-13x+40
(x-5)(x-8)
400
Given the zeros of a quadratic are
x=6 and x=-7
determine the factors.
(x-6) and (x+7)
400
Algebraically determine the zeros of
y=3x^2-12x
x=0 and x=4
400
What are the zeros?
x=0
and
x=4
500
What is the degree of a quadratic equation?
2
500
Factor the following COMPLETELY
3x^2-30x-72
GCF First:
3(x^2-10x-24)
Then Trinomial (1AM):
3(x+2)(x-12)
500
Given the graph below, determine the zeros of the function.
x=-4 and x=2
500
Solve the following quadratic equation algebraically.
x^2+2x-25=8x+2
x^2-6x-27=0
(x+3)(x-9)=0
x=-3 and x=9
500
Determine the solutions to the system of equations shown below.
(3,3) and (8,-2)