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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 11: Q. 349 (page 1069)

The Graph we have is

Short Answer

Expert verified

$f (x) = {(x + 1)}^{2}$

Step by step solution

Step 1. Given informationWe have a parabolic graph opening upward, hence it is a transformation of y=x2

Graph is a parabolic graph

Step 2. The graph is shifted left side by 1 unit hence h=-1hence, the equation of the graph we get isf(x)={x-(-1)}2f(x)=(x+1)2

We put the value ofhin the equation $f (x) = a {(x - h)}^{2} + k$

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Most popular questions from this chapter

In the following exercises, simplify each expression using the properties for exponents.

$ⓐ q^{27} \cdot q^{15} ⓑ 5^{x} \cdot 5^{4 x} ⓒ 9 u^{41} \cdot 7 u^{53} ⓓ c^{5} \cdot c^{11} \cdot c^{2}$

Simplify the rational expression $\frac{p^{3} + 3 p^{2} + 4 p + 12}{p^{2} + p - 6} .$

Simplify the rational expression $\frac{x^{2} + 4 x - 5}{x^{2} - 2 x + 1}$

Simplify::
(a) $36^{\frac{1}{2}}$

(b) $8^{\frac{1}{3}}$

In the following exercises, factor each trinomial of the form

$x^{2} + b x y + c y^{2} m^{2} - 64 m n - 65 n^{2}$

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The Graph we have is

Short Answer

Step by step solution

Step 1. Given informationWe have a parabolic graph opening upward, hence it is a transformation of y=x2

Step 2. The graph is shifted left side by 1 unit hence h=-1hence, the equation of the graph we get isf(x)={x-(-1)}2f(x)=(x+1)2

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Most popular questions from this chapter

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