The process of changing a sum to a product is called ________________ .
What is factoring?
100
Give an example of an equation that would make a parabola point DOWN.
must have a -x^2 in expression
100
Please write what the zero product property states.
When 2 or more numbers are multiplied to equal zero, at least one of the products must be equal to zero.
100
What is the quadratic formula?
x= -b+-√b^2-4ac / 2a
100
Factor the following quadratic using a generic rectangle and a diamond problem:
2x^2-8x+8
(2x-4)(x-2)=2x^2-8x+8
200
This point of the parabola is not only the highest or lowest point, but it is also where the line of symmetry crosses.
What is the vertex?
200
Kyle threw a football to his friend Megan. Kyle was on the 4 yard line and Megan was at the 10 yard line. The ball went 5 yards high. Sketch a graph on your white board, labeling all important points.
x-intercepts (3,0) (10,0)
Vertex (7,5)
200
Using the zero product property, find the x-intercepts in the following problem:
(2x-3)(x+9)=0
(3/2,0) and (-9,0)
200
In the problem 3x^2-8x+2, what are the values of a, b, and c?
a=3
b=-8
c=2
200
Given a quadratic, what two parts of the generic rectangle can you automatically fill in? Use specific words!
The x^2 values always go in the bottom left hand box, and the constant value always goes in the upper right part of the box.
300
If a problem is not factorable, we use this to find the x-intercepts.
What is the quadratic formula?
300
True or False, when given just the Y intercept, we are able to graph a parabola. If false, write the true statement.
False! When given a Y intercept we cannot graph a parabola, we must also need the X intercepts.
300
Find the x intercepts in the following problem:
5(2x-1)(x+8)=y
(1/2,0) and (-8,0)
300
Solve: 6x^2+11x-35=0 using the Quadratic Formula
(-7/2,0) and (5/3,0)
300
Factor the following problem COMPLETELY. Remember GCF. Write as a product and a sum.
3x^2+12x+9=y
3(x+3)(x+1)=3x^2+x+9
400
The intercept we can find by looking at a quadratic equation.
What is the Y-intercept.
400
If x=2, what is y equal to in the equation y=-x^2+6x-7
y=1
400
Solve the following quadratic using the ZPP.
2x^2-7x+5=0
(5/2,0) and (2,0)
400
Solve the following using the quadratic formula to find the x-intercepts:
2x^2-15=y
x intercept is approximately (2.74,0)
400
This particular quadratic is factored to give us (5x+4)(2x-1). What is the rule? What are the X intercepts? What is the Y intercept? ALL questions must be answered.
Rule:10x^2+3x-4=y
X intercepts: (-4/5,0) and (1/2,0)
Y intercept: (0,-4)
500
Standard form of a quadratic expression.
What is ax^2+bx+c
500
Using the graphing side of your whiteboard,
Graph the formula x^2+8x+15 By making a table with at LEAST 7 points.
Teacher will have graph.
Table : X -3, -2, -1, 0, 1, 2, 3
Y 17, 10, 5, 2, 1, 2, 5
500
x^2-3x=10+y
Find the x intercepts using ZPP
(5,0) (-2,0)
500
What are the x intercepts of the equation 36x^2+25=60x
Use the Quadratic Formula!
Bonus question (2x the points!)- What about your steps in the quadratic formula made this problem only have 1 x-intercept?
(5/6,0)
BONUS!
Inside of the radical, you got the answer of zero, therefore you did not have to add or subtract anything from 60.
500
Factor the following problem COMPLETELY.
2x^2+15x-2=-x^2-2x-26.
What are the X intercepts? Y intercept?
(3x+8)(x+3)=3x^2+17x+24
X Intercepts: (-3,0) and (-8/3,0)
Y intercept: (0,-26)