Math- Quadratics

Question 1

What is the quadratic form

Answer 1

f(x)=ax^2 + bx +c

Question 2

What are roots?

Answer 2

Roots are the solutions and x-intercepts

Question 3

What does the sum of the roots equal

Answer 3

Sum = -b/a

Question 4

What does the product of the roots equal

Answer 4

Product= c/a

Question 5

What is the vertex

Answer 5

The midpoint of the parabola- it is always the maximum or minimum of the parabola

Question 6

What does the x coordinate of the vertex equal

Answer 6

the midpoint of the roots

Question 7

Vertex form

Answer 7

y = a(x - h)^2 + k

Question 8

How to change from standard form to vertex form? (Completing the square)

Answer 8

First take the middle term and divide by 2. Then put it in the parentheses with x. Subtract the square of that number in the end aka the original b term. (h,k) is the vertex coordinates.

Question 9

What is the discriminant

Answer 9

b^2 - 4ac
When the discriminant is more than zero, there is two real solutions. When the discriminant is zero there is one real solution. When the discriminant is less than zero, there are no real solutions.

Question 10

Quadratic formula

Answer 10

x = (-b plus or minus the square root of b^2 - 4ac) / (2a)