Understanding Quadratic Functions

y = ax^3 + bx^2 + c

y = ax^2 + bx + c

y = ax + b

y = ax^2 + b

Hyperbola

Parabola

Ellipse

Circle

Upward

To the right

Downward

To the left

y = x^3 - 4x

y = 7x - 9

y = 3x + 2

y = x^2 + 5x + 6

Revenue function: R(x) = 5x + 100

Area function: A(x) = x(1200 - x)

Profit function: P(x) = 18x - 2500

Cost function: C(x) = 10x + 2500

3

2

1

4

y = 4x^3 + 2x

y = x^2

y = x^2 + 3x + 2

y = 5x^2 - x + 1

Line

Ellipse

Parabola

Circle

The cost of apples per kilogram

The height of a thrown ball over time

The area of a square as a function of its side length

The distance traveled by a car moving at constant speed

The highest degree is 1

The highest degree is 2

The highest degree is 3

The highest degree is 4