Parametric Equations

Front

What are parametric equations?

Back

Parametric equations express a set of quantities as explicit functions of a number of independent variables, known as parameters.

Front

What is the role of the parameter 't' in parametric equations?

Back

The parameter 't' is a variable that represents a value that can change, allowing the equations to define a curve in the coordinate plane.

Front

Convert the following parametric equations to a rectangular equation: x = t^2 - 2, y = -t + 2.

Back

To eliminate the parameter, solve for 't' in terms of 'y': t = 2 - y. Substitute into x: x = (2 - y)^2 - 2.

Front

Find the point based on the parametric equations: t = 3, x = 1 - 2t, y = 4t + 1.

Back

(-5, 13) when t = 3.

Front

Find the ordered pair based on the parametric equations: t = -2, x = t^2 - 2, y = -t + 2.

Back

(2, 4) when t = -2.

Front

What is the term for the variable 't' in parametric equations?

Back

The variable 't' is called a parameter.

Front

Which set of parametric equations satisfies the given data table? x(t) = t^3 - 1, y(t) = t + 2.

Back

x(t) = t^3 - 1, y(t) = t + 2.

Front

What does it mean to eliminate the parameter in parametric equations?

Back

Eliminating the parameter means converting the parametric equations into a single rectangular equation.

Front

If x = 3t + 1 and y = 2t - 4, find the point when t = 2.

Back

(7, 0) when t = 2.

Tags

CCSS.6.EE.C.9

Front

What is the graphical representation of parametric equations?

Back

Parametric equations can be represented as a curve in the coordinate plane, where each point on the curve corresponds to a value of the parameter.

Tags

CCSS.HSF-IF.C.7D