Solving Quadratics
Vocab
Factoring Quadratics
Random #1
Random #2
100
Use the Zero Product Property to solve the following quadratic equation. (x - 7)(x + 2) = 0
x = 7 x = -2
100

What is the name of the graph of a quadratic function?

Parabola
100

Factor the expression:

x^2-11x+24  

(x-3)(x-8)

100

What is the vertex of the parabola?

y=-0.5(x+4)2+6

(-4,6)

100
What direction is the parabola facing if a value in y=ax^2+bx+c is negative? 
Downward
200
Solve the following quadratic equation by factoring. x^2 + 3x + 2 = 0
x = -2 x = -1
200

What is the name of the line that cuts the graph of a quadratic in half?

Axis of symmetry
200

x^2-x-132

(x-12)(x+11)

200

What is the equation in standard form?

y=(x+4)^2-1

y=(x+4)(x+4)-1

y=x^2+4x+4x+16-1

y=x^2+8x+15

200
What is the x-coordinate of the y-intercept in a parabola? 
The x-coordinate is zero

(0,y)

300
Solve the following quadratic equation by factoring. x^2 - 7x = 0
x = 0 x = 7
300

What is the name of the maximum or minimum of a quadratic function?

Vertex
300

25x^2-4

(5x+2)(5x-2)

300

What is the equation in standard form?

y= -(x-2)(x+10)

y=-(x^2+10x-2x-20)

y=-(x^2+8x-20)

y=-x^2-8x+20

300
Do the most push-ups in 30 seconds
Nice form!
400
Solve the following quadratic equation by factoring. 5x^2 -10x - 75 = 0
x = 5

x = -3

400
What is the set of all possible y-values called?
Range
400

2x^2+23x+11

(2x+1)(x+11)

400
A parabola has a vertex of (1,-2) and passes through the point (0,0). 

What is the equation of the parabola?

From the vertex we know:  

y=a(x-1)^2-2 

From the point we know x & y: 
0=a(0-1)^2-2 
0=a(-1)^2-2 
0=1a-2 
2=a 
Put "a" in the equation 
y=2(x-1)^2-2
400
How do you find the x-coordinate of the vertex?
X-coordinate of the vertex is a half-way point between the x-intercepts. 
500
Solve the following quadratic equation by factoring. 5x^2 +45x  = -90
x = -3      x = -6
500
What is another word for x-intercepts? (zeros of a quadratic)
Roots
500

3x^2+13x-10

(3x-2)(x+5)

500
What do we call the property when the product of two of more numbers is zero?
Zero Product Property
500

Find the vertex of f(x)=x^2-2x

(1,-1)

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