Quadratic Equations

Question 1

Standard form of a Quadratic

Answer 1

y=ax^2+bx+c

Reveals y-intercept (c-value)

Question 2

Vertex Form of a Quadratic

Answer 2

y=a(x-h)^2+k
Reveals vertex (h,k) *h is opposite of parentheses*

Question 3

h

Answer 3

-b/2a

Question 4

k

Answer 4

Plug the value you get for h into x and evaluate

Question 5

Axis of Symmetry

Answer 5

The vertical line that divides your parabola in half. x=-b/2a

Question 6

Vertex

Answer 6

max or minimum point of the parabola. The point that makes the parabola symmetrical

Question 7

Domain

Answer 7

All the x-values that are part of your function; for quadratics it is usually all real numbers

Question 8

Range

Answer 8

All the y-values that are part of your function. Range is a restricted set of values.

Question 9

Complex Number

Answer 9

Composed of both a real number and an imaginary number 2+3i

Question 10

i

Answer 10

sqrt(-1)

sqrt(-4)=2i
sqrt(-25)=5i

Question 11

i^2

Answer 11

-1

This is mostly used when we multiply complex numbers

Question 12

Factored Form of a Quadratic

Answer 12

(x+a)(x+b)
Where a and b can be positive or negative numbers
This reveals the solutions to the quadratic equation

Question 13

Solutions

Answer 13

x-intercepts
Zeros
Roots
f(x)=0