Chapter 9: Q. 11. (page 755)

Explain how to use parametric equations to transform the
function $y = f (x)$

Short Answer

Expert verified

The parametric equations are $x = t, y = f (t)$

Step by step solution

Given information

The function is $y = f (x)$ where $y$ is explicitly expressed as a function of $x$

This is not a straightforward representation of every curve.

To get around this problem, each variable is stated as a function of a new variable called a parameter.

The objective is to explain how to use parametric equations to transform the function y=f(x)

For the function $y = f (x)$ allowing $x = t$ is one technique to get parametric equations then $y = f (t)$ and $x (t) = t, y (t) = f (t)$ where $t$ is in the domain of $f$ , are parametric equations of the curve.

Hence, the parametric equations are

$x = t, y = f (t)$

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Explain how to use parametric equations to transform the
function $y = f (x)$

Short Answer

Step by step solution

Given information

The objective is to explain how to use parametric equations to transform the function y=f(x)

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Explain how to use parametric equations to transform thefunction y=f(x)

Short Answer

Step by step solution

Given information

The objective is to explain how to use parametric equations to transform the function y=f(x)

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Probability and Statistics

Mechanics Maths

Calculus

Theoretical and Mathematical Physics

Logic and Functions

Study anywhere. Anytime. Across all devices.

Explain how to use parametric equations to transform the
function $y = f (x)$