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Chapter 11: Q. 338 (page 1160)

a) Identify the type of graph of each equation as a circle, parabola, ellipse, or hyperbola, and b) Graph the equation.

x=2y2+10y+7

Short Answer

Expert verified

The graph of the equation may be horizontal parabola or right opening parabola.

Step by step solution

01

Step 1. Given Information

The graph equation can be given asx=2y2+10y+7.

02

Step 2. Standard form

The standard form of horizontal parabola can be denoted as,

x=a(y-k)2+h.

When a is positive, then the parabola will open on right.

When a is negative, then the parabola will open on left.

The equation of parabola has y2term, the leading coefficient is positive. Then, it will be right opening parabola or horizontal parabola.

03

Step 3. Graph of the equation

The vertex of the parabola is (-5.5, -2.5). On drawing the graph,

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