Quadratics 101
Formula One
I Got 99 Problems
Graphic Content
What's the Word?
100
These are the factors of x² - 5x + 6
What is (x - 2)(x - 3)?
100
Using h and k, this equation represents a quadratic written in vertex form.
What is y=a(x-h)2 +k?
100
Jorge is shot out of a cannon and his flight path can be modeled by the equation y=-2(x-3)2+25, where x=time in seconds and y=height in feet. This is the highest point that Jorge flew.
What is 25 feet?
100
This distinctive "U" shape is what we see when we graph a quadratic function.
What is a parabola?
100
The maximum or minimum value of a quadratic equation
What is the vertex?
200
This special property allows us to solve when (x+1)(x-8)=0
What is the zero product property?
200
Using this formula will give you the midpoint (or axis of symmetry) of an equation in intercept form
What is (p+q)/2?
200
A football field is actually shaped like a parabola and is modeled by the equation y= -0.000234x(x-160). This is the width of the field.
What is 160?
200
This graph represents the equation y=x2-4
What is
200
*DAILY DOUBLE*
x2-25, 4x2-9, x2-16
What is a difference of squares?
300
These are the factors of x² - 26x + 169
What is (x - 13)²?
300
This formula will determine the x-coordinate of the vertex when the equation is in standard form of ax2+bx+c
What is x = -b/(2a) ?
300
*DAILY DOUBLE*A grenade is fired from the top of a tower so that its height is given by the equation h(t) = -16t² + 64t + 200, where t is measured in seconds. The grenade reaches its highest point at this many seconds.
What is 2?
300
This graph represents the function y=(x+6)(x-2)
What is 
300
The line that splits the parabola in half
What is the axis of symmetry?
400
These are the factors of f(x) = 2x² - 3x + 1
What is (2x-1)(x-1)?
400
Written in this form (give its name and the equation), we can easily identify the y-intercept of the parabola
What is standard form, y=ax2+bx+c?
400
This is the solution to 2(x+2)2-5=8 when you solve using inverse operations
What is -2 + sqrt(26)/2 or -2 - sqrt(26)/2?
400
Mirror, mirror on the wall; where does y = x² + 6x - 8's axis of symmetry fall? On this vertical line.
What is x = -3?
400
9x2+6x+1, x2-8x+16, x2+12x+36
What are perfect square trinomials?
500
This value of c makes the quadratic x² - 14x + c into a perfect square trinomial.
What is 49?
500
The equation y=3(x-5)2 - 8 looks like this in standard form
What is y=3x2-30x+67?
500
A rectangular stained glass window measures 2 feet by 1 foot. You have 4 square feet of glass with which to make a border with the same width around the window. This should be the width of the border.
What is 6 inches (or 1/2 foot)?
500
This quadratic equation has a vertex at (4,1) where a=-1
What is y = -(x - 4)² + 1?
500
________, Zeros, Solutions, X-Intercepts
What are roots?