# How do you graph a cubic function equation?

## How do you graph a cubic function equation?

The basic cubic graph is y = x3. For the function of the form y = a(x − h)3 + k. If k > 0, the graph shifts k units up; if k < 0, the graph shifts k units down. If h > 0, the graph shifts h units to the right; if h < 0, the graph shifts h units left.

## What is a cubic function in Algebra 2?

A cubic function is any function of the form y = ax3 + bx2 + cx + d, where a, b, c, and d are constants, and a is not equal to zero, or a polynomial functions with the highest exponent equal to 3.

What does a cubic function look like on a graph?

A cubic function has the standard form of f(x) = ax3 + bx2 + cx + d. The “basic” cubic function is f(x) = x3. You can see it in the graph below. In a cubic function, the highest power over the x variable(s) is 3.

What is a cubic function graph called?

The graph of a cubic function is a cubic curve, though many cubic curves are not graphs of functions.

### What is a cubic graph called?

Cubic graphs, also called trivalent graphs, are graphs all of whose nodes have degree 3 (i.e., 3-regular graphs).

How many roots does a cubic function have?

three
A cubic function has either one or three real roots (which may not be distinct); all odd-degree polynomials have at least one real root. The graph of a cubic function always has a single inflection point. It may have two critical points, a local minimum and a local maximum. Otherwise, a cubic function is monotonic.

What shape is a cubic function?

cubic curve
The graph of a cubic function is a cubic curve, though many cubic curves are not graphs of functions.

## How can you tell if a graph is cubic?

A cubic function is a polynomial of degree three. Cubic graphs can be drawn by finding the x and y intercepts. Because cubic graphs do not have axes of symmetry the turning points have to be found using calculus.