   Chapter 10, Problem 8RQ

Chapter
Section
Textbook Problem

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.8. The graph of y2 = 2y + 3x is a parabola.

To determine

To find: Whether the given statement is true or false and explain with an example if necessary to prove your answer.

Explanation

Given:

The given equation is as follows.

y2=2y+3x (1)

Calculation:

Rewrite equation (1) to a standard form.

y2=2y+3xy22y=3xy22y+1=3x+1

(y1)2=3x+1(y1)2=3(x+13)(y1)2=44×3(x+13)

(y1)2=4[34(x+13)] (2)

This is the equation of the parabola

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