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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 11: Q.134 (page 1119)

In the following exercise, graph the equation $x = 4 {(y + 1)}^{2} - 4$

Short Answer

Expert verified

The required standard equation is ${(y + 1)}^{2} = \frac{x + 4}{4}$

Step by step solution

01

Step 1, Given the information

The given equation of the curve $x = 4 {(y + 1)}^{2} - 4$

02

Step 2. Convert into a standard form

Here, $x = 4 {(y + 1)}^{2} - 4 x + 4 = 4 {(y + 1)}^{2} {(y + 1)}^{2} = \frac{x + 4}{4}$

Which is a parabola

03

Step 3. Draw a graph

The standard equation of a parabola is ${(y + 1)}^{2} = \frac{x + 4}{4}$

Whose vertex is $(- 4, - 1)$

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