Question

Name the parent function of each function. $$2 y=3 x+4$$

   Name the parent function of each function.
$$2 y=3 x+4$$

Geometry

Edward Burger, David… 1st Edition

Chapter 4, Problem 50

Instant Answer

Solved by Expert Ashley High

03/25/2020

Step 1

We can do this by dividing both sides of the equation by 2. This gives us: \[y = \frac{3}{2}x + 2\] Show more…

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Name the parent function of each function. $$2 y=3 x+4$$

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Key Concepts

Parent Function

The parent function is the simplest form of a family of functions, serving as the base from which more complex functions are derived via various transformations like translations, stretches, or reflections. In the context of linear functions, the parent function is the identity function, usually written as f(x) = x.

Linear Function

A linear function represents a straight line in the Cartesian plane and is generally written in the form y = mx + b, where m is the slope and b is the y-intercept. This form shows how the linear behavior can be modified through transformations applied to the parent function.

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