Quadratic Flashcards
Standard Form of a Quadratic
y=ax^2+bx+c
This form reveals the y-intercept (c)
Vertex Form
y=a(x-h)^2+k
This form tells me the vertex (h,k) ***h is opposite of what’s in parentheses
h
-b/2a
k
Plug h into x and evaluate
Vertex
Max or a min point, also can be seen as the center of the parabola.
Factored Form of a Quadratic
(x+a)(x+b)
a and b can be negative or positive
Reveals the zeros of the function
Zeros
x-intercepts
Solutions
Roots
f(x)=0
Complex Number
a+bi
Made up of a real number and an imaginary number
i
you sqrt a negative number
sqrt(-25)=+-5i
i^2
i^2=-1
***Multiplying complex numbers
Domain
All x-values that are part of your function. Also called the inputs.
**The domain for quadratic equations is all real numbers
Range
All y-values that are part of your function. Also knowns as outputs. Always restricted for quadratic equations.