When factoring, the goal is to transform a trinomial into a_____________?
Binomial
100
What is the quadratic formula?:
x=(-b±√(b^2-4ac))/2a
100
What chart do we use when graphing equations?
x-y chart
100
What is the name of the point where the values of y start to repeat?
The vertex point
100
Factor x^2-25
(x+5)(x-5)
200
What is the first step when factoring a quadratic equation?
Determine the product and sum
200
What is the first step for solving an equation using the quadratic formula?
Make sure the equation is in standard form, which means it should equal 0
200
What is the name of the graph for quadratic equations?
A parabola
200
Each graph of a quadratic equation has either what two values?
A maximum or minimum value
200
What is the number one rule for the solutions of any quadratic equation? Hint: There should be no....
DECIMALS!!!!!!!!!!!!!!!!!
300
Which coefficients form the product?
a and c
300
When will there be 2 REAL solutions?
When b^2-4ac is greater than 0
300
What is the shape of a parabola?
A "u" shape
300
What tells us the number of solutions for x when using the quadratic formula?
The discriminant
300
When solving for the discriminant, when do you get 2 non real solutions?
When b^2-4ac is less than 0
400
What method do we use to check to see if our binomials are correct?
The FOIL method or distributive property
400
If a=4, b=9 and c=5 what is the value of the discriminant.
1
400
If the coefficient of "a" changes from 1 to a fraction, what happens to the graph?
It becomes wider
400
Which axis does the axis of symmetry go through?
The x-axis
400
When graphing quadratic equations, how will the graph look like if the first coefficient is a negative number?
upside down U
500
Factor x^2+8x+16
(x+4)(x+4) or (x+4)^2
500
Name the four steps for the quadratic formula.
Step 1: Make sure equation is in standard form.
Step 2: Find values for a, b, and c.
Step 3: Plug values into the discriminant.
Step 4: Substitute values into the equation and solve for x.
500
If the coefficient of "a" changes from a positive to a negative fraction, what happens to the graph?
It reflects over the x-axis and becomes wider.
500
This line divides the graph of a parabola in half.