Definitions
The function for vertex form of a quadratic?
What is f(x)=a(x-h)^2+k
What is the vertex of the graph of the function f(x) = x^2 − 4x?
(2,-4)
Write the following polynomial in standard form
2 + 6x3 − 4 + 2x5
2x5 + 6x3 + x2 − 4
A line that the graph gets close to but never touches.
Horizontal or vertical asymptotes
The function f(x) = 400(1.2)x models a population of mice after x years. What will the population be in 7 years?
About 1,400
The highest/lowest point on a parabola depending on how the parabola opens up?
What is a vertex?
Solve the equation x^2 + 7x = 30
x=-10 x=3
Add (4a2b − 3ab2 + 2ab + 5) and (2a2b + 3ab2 − 7ab)
6a2b − 5ab + 5
For the function f(x) = 2 ⋅ (3)-x , identify the y-intercept and asymptote.
y-int: 2
Asymptote: y=0
The roots of a quadratic expressed as a linear product
What is a factor?
What is the equation written in vertex form of a parabola with a vertex of (9, −1) that passes through (7, 7)?
y = 2(x − 9)^2 − 1
Multiply (x + 2y)(x2 − xy + 3y)
x3 + x2y + 3xy − 2xy2 + 6y2
The quadratic formula
(-b±√(b²-4ac))/(2a)
Use square roots to solve the equation x2 = −64 over the complex numbers
±8i
What is the remainder if f(x) = x4 − 5x2 − 6x − 10 is divided by x − 3?
8
numbers that are expressed in the form of a+ib where, a,b are real numbers and 'i' is an imaginary number
What is complex numbers?
Solve x2 + 8x − 6 = 0 using the Quadratic Formula
x=-4+√22
x=-4-√22
Is x + 2 is a factor of P(x) = 2x3 + 5x2 + 5x + 6?
Yes