Algebra and Trigonometry: Structure and Method, Book 2
Algebra and Trigonometry: Structure and Method, Book 2
2000th Edition
ISBN: 9780395977255
Author: MCDOUGAL LITTEL
Publisher: McDougal Littell
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Concept explainers

Family of Curves
A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These…
XZ Plane
In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are…
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Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) ge…
Lines and Angles
In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.
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Question
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Chapter 7.5, Problem 16OE
To determine

To determine how to shift the graph of y=2x2 to obtain the graph of given equation

Expert Solution & Answer
Check Mark

Answer to Problem 16OE

It will slide 4 units downward

Explanation of Solution

Given information :

Given equation y+4=2x2

We know that the graph of the equation y−k=a(x−h)2 the parabola formed opens upwards when a>0 and downwards when a<0 . Higher the values of a , narrower the parabola will be. Further if h>0 then the graph will slide to its right whereas it will shift on left side if the value of h<0 .

When k>0 the graph slides upwards, and when k<0 then graph slides downwards.

Now we compare the given equation to the standard form of equation we get the value of k=−4

This shows that the graph of parabola y=2x2 will slide 4 units downward as the value of k<0

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Chapter 7.5, Problem 15OE
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Chapter 7.5, Problem 17OE

Chapter 7 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

Ch. 7.1 - Prob. 1OECh. 7.1 - Prob. 2OECh. 7.1 - Prob. 3OECh. 7.1 - Prob. 4OECh. 7.1 - Prob. 5OECh. 7.1 - Prob. 6OECh. 7.1 - Prob. 7OECh. 7.1 - Prob. 8OECh. 7.1 - Prob. 9OECh. 7.1 - Prob. 10OE
Ch. 7.1 - Prob. 11OECh. 7.1 - Prob. 12OECh. 7.1 - Prob. 13OECh. 7.1 - Prob. 14OECh. 7.1 - Prob. 15OECh. 7.1 - Prob. 16OECh. 7.1 - Prob. 17OECh. 7.1 - Prob. 18OECh. 7.1 - Prob. 19OECh. 7.1 - Prob. 20OECh. 7.1 - Prob. 1WECh. 7.1 - Prob. 2WECh. 7.1 - Prob. 3WECh. 7.1 - Prob. 4WECh. 7.1 - Prob. 5WECh. 7.1 - Prob. 6WECh. 7.1 - Prob. 7WECh. 7.1 - Prob. 8WECh. 7.1 - Prob. 9WECh. 7.1 - Prob. 10WECh. 7.1 - Prob. 11WECh. 7.1 - Prob. 12WECh. 7.1 - Prob. 13WECh. 7.1 - Prob. 14WECh. 7.1 - Prob. 15WECh. 7.1 - Prob. 16WECh. 7.1 - Prob. 17WECh. 7.1 - Prob. 18WECh. 7.1 - Prob. 19WECh. 7.1 - Prob. 20WECh. 7.1 - Prob. 21WECh. 7.1 - Prob. 22WECh. 7.1 - Prob. 23WECh. 7.1 - Prob. 24WECh. 7.1 - Prob. 25WECh. 7.1 - Prob. 26WECh. 7.1 - Prob. 27WECh. 7.1 - Prob. 28WECh. 7.1 - Prob. 29WECh. 7.1 - Prob. 30WECh. 7.1 - Prob. 31WECh. 7.1 - Prob. 32WECh. 7.1 - Prob. 33WECh. 7.1 - Prob. 34WECh. 7.1 - Prob. 35WECh. 7.1 - Prob. 36WECh. 7.1 - Prob. 37WECh. 7.1 - Prob. 38WECh. 7.1 - Prob. 39WECh. 7.1 - Prob. 40WECh. 7.1 - Prob. 41WECh. 7.1 - Prob. 42WECh. 7.1 - Prob. 1MRECh. 7.1 - Prob. 2MRECh. 7.1 - Prob. 3MRECh. 7.1 - Prob. 4MRECh. 7.1 - Prob. 5MRECh. 7.1 - Prob. 6MRECh. 7.1 - Prob. 7MRECh. 7.1 - Prob. 8MRECh. 7.1 - Prob. 9MRECh. 7.2 - Prob. 1OECh. 7.2 - Prob. 2OECh. 7.2 - Prob. 3OECh. 7.2 - Prob. 4OECh. 7.2 - Prob. 5OECh. 7.2 - Prob. 6OECh. 7.2 - Prob. 1WECh. 7.2 - Prob. 2WECh. 7.2 - Prob. 3WECh. 7.2 - Prob. 4WECh. 7.2 - Prob. 5WECh. 7.2 - Prob. 6WECh. 7.2 - Prob. 7WECh. 7.2 - Prob. 8WECh. 7.2 - Prob. 9WECh. 7.2 - Prob. 10WECh. 7.2 - Prob. 11WECh. 7.2 - Prob. 12WECh. 7.2 - Prob. 13WECh. 7.2 - Prob. 14WECh. 7.2 - Prob. 15WECh. 7.2 - Prob. 16WECh. 7.2 - Prob. 17WECh. 7.2 - Prob. 18WECh. 7.2 - Prob. 19WECh. 7.2 - Prob. 20WECh. 7.2 - Prob. 21WECh. 7.2 - Prob. 22WECh. 7.2 - Prob. 23WECh. 7.2 - Prob. 24WECh. 7.2 - Prob. 25WECh. 7.2 - Prob. 26WECh. 7.2 - Prob. 27WECh. 7.2 - Prob. 28WECh. 7.2 - Prob. 29WECh. 7.2 - Prob. 30WECh. 7.2 - Prob. 31WECh. 7.2 - Prob. 32WECh. 7.2 - Prob. 33WECh. 7.2 - Prob. 34WECh. 7.2 - Prob. 35WECh. 7.2 - Prob. 36WECh. 7.2 - Prob. 37WECh. 7.2 - Prob. 38WECh. 7.2 - Prob. 39WECh. 7.2 - Prob. 40WECh. 7.2 - Prob. 41WECh. 7.2 - Prob. 42WECh. 7.2 - Prob. 1PCh. 7.2 - Prob. 2PCh. 7.2 - Prob. 3PCh. 7.2 - Prob. 4PCh. 7.2 - Prob. 5PCh. 7.2 - Prob. 6PCh. 7.2 - Prob. 7PCh. 7.2 - Prob. 8PCh. 7.2 - Prob. 9PCh. 7.2 - Prob. 10PCh. 7.2 - Prob. 11PCh. 7.2 - Prob. 12PCh. 7.2 - Prob. 13PCh. 7.2 - Prob. 14PCh. 7.2 - Prob. 15PCh. 7.2 - Prob. 1STCh. 7.2 - Prob. 2STCh. 7.2 - Prob. 3STCh. 7.2 - Prob. 4STCh. 7.2 - Prob. 5STCh. 7.2 - Prob. 6STCh. 7.3 - Prob. 1OECh. 7.3 - Prob. 2OECh. 7.3 - Prob. 3OECh. 7.3 - Prob. 4OECh. 7.3 - Prob. 5OECh. 7.3 - Prob. 6OECh. 7.3 - Prob. 7OECh. 7.3 - Prob. 8OECh. 7.3 - Prob. 9OECh. 7.3 - Prob. 10OECh. 7.3 - Prob. 1WECh. 7.3 - Prob. 2WECh. 7.3 - Prob. 3WECh. 7.3 - Prob. 4WECh. 7.3 - Prob. 5WECh. 7.3 - Prob. 6WECh. 7.3 - Prob. 7WECh. 7.3 - Prob. 8WECh. 7.3 - Prob. 9WECh. 7.3 - Prob. 10WECh. 7.3 - Prob. 11WECh. 7.3 - Prob. 12WECh. 7.3 - Prob. 13WECh. 7.3 - Prob. 14WECh. 7.3 - Prob. 15WECh. 7.3 - Prob. 16WECh. 7.3 - Prob. 17WECh. 7.3 - Prob. 18WECh. 7.3 - Prob. 19WECh. 7.3 - Prob. 20WECh. 7.3 - Prob. 21WECh. 7.3 - Prob. 22WECh. 7.3 - Prob. 23WECh. 7.3 - Prob. 24WECh. 7.3 - Prob. 25WECh. 7.3 - Prob. 26WECh. 7.3 - Prob. 27WECh. 7.3 - Prob. 28WECh. 7.3 - Prob. 29WECh. 7.3 - Prob. 30WECh. 7.3 - Prob. 31WECh. 7.3 - Prob. 32WECh. 7.3 - Prob. 33WECh. 7.3 - Prob. 34WECh. 7.3 - Prob. 35WECh. 7.3 - Prob. 36WECh. 7.3 - Prob. 37WECh. 7.3 - Prob. 38WECh. 7.3 - Prob. 39WECh. 7.3 - Prob. 40WECh. 7.3 - Prob. 41WECh. 7.3 - Prob. 42WECh. 7.3 - Prob. 43WECh. 7.3 - Prob. 1MRECh. 7.3 - Prob. 2MRECh. 7.3 - Prob. 3MRECh. 7.3 - Prob. 4MRECh. 7.3 - Prob. 5MRECh. 7.3 - Prob. 6MRECh. 7.3 - Prob. 7MRECh. 7.3 - Prob. 8MRECh. 7.3 - Prob. 9MRECh. 7.3 - Prob. 10MRECh. 7.3 - Prob. 11MRECh. 7.3 - Prob. 12MRECh. 7.3 - Prob. 13MRECh. 7.3 - Prob. 14MRECh. 7.3 - Prob. 1CECh. 7.3 - Prob. 2CECh. 7.3 - Prob. 3CECh. 7.3 - Prob. 4CECh. 7.3 - Prob. 5CECh. 7.3 - Prob. 6CECh. 7.4 - Prob. 1OECh. 7.4 - Prob. 2OECh. 7.4 - Prob. 3OECh. 7.4 - Prob. 4OECh. 7.4 - Prob. 5OECh. 7.4 - Prob. 6OECh. 7.4 - Prob. 7OECh. 7.4 - Prob. 8OECh. 7.4 - Prob. 9OECh. 7.4 - Prob. 10OECh. 7.4 - Prob. 11OECh. 7.4 - Prob. 12OECh. 7.4 - Prob. 1WECh. 7.4 - Prob. 2WECh. 7.4 - Prob. 3WECh. 7.4 - Prob. 4WECh. 7.4 - Prob. 5WECh. 7.4 - Prob. 6WECh. 7.4 - Prob. 7WECh. 7.4 - Prob. 8WECh. 7.4 - Prob. 9WECh. 7.4 - Prob. 10WECh. 7.4 - Prob. 11WECh. 7.4 - Prob. 12WECh. 7.4 - Prob. 13WECh. 7.4 - Prob. 14WECh. 7.4 - Prob. 15WECh. 7.4 - Prob. 16WECh. 7.4 - Prob. 17WECh. 7.4 - Prob. 18WECh. 7.4 - Prob. 19WECh. 7.4 - Prob. 20WECh. 7.4 - Prob. 21WECh. 7.4 - Prob. 22WECh. 7.4 - Prob. 23WECh. 7.4 - Prob. 24WECh. 7.4 - Prob. 25WECh. 7.4 - Prob. 26WECh. 7.4 - Prob. 27WECh. 7.4 - Prob. 28WECh. 7.4 - Prob. 29WECh. 7.4 - Prob. 30WECh. 7.4 - Prob. 31WECh. 7.4 - Prob. 32WECh. 7.4 - Prob. 1STCh. 7.4 - Prob. 2STCh. 7.4 - Prob. 3STCh. 7.4 - Prob. 4STCh. 7.4 - Prob. 5STCh. 7.4 - Prob. 6STCh. 7.4 - Prob. 7STCh. 7.4 - Prob. 8STCh. 7.4 - Prob. 9STCh. 7.4 - Prob. 10STCh. 7.5 - Prob. 1OECh. 7.5 - Prob. 2OECh. 7.5 - Prob. 3OECh. 7.5 - Prob. 4OECh. 7.5 - Prob. 5OECh. 7.5 - Prob. 6OECh. 7.5 - Prob. 7OECh. 7.5 - Prob. 8OECh. 7.5 - Prob. 9OECh. 7.5 - Prob. 10OECh. 7.5 - Prob. 11OECh. 7.5 - Prob. 12OECh. 7.5 - Prob. 13OECh. 7.5 - Prob. 14OECh. 7.5 - Prob. 15OECh. 7.5 - Prob. 16OECh. 7.5 - Prob. 17OECh. 7.5 - Prob. 1WECh. 7.5 - Prob. 2WECh. 7.5 - Prob. 3WECh. 7.5 - Prob. 4WECh. 7.5 - Prob. 5WECh. 7.5 - Prob. 6WECh. 7.5 - Prob. 7WECh. 7.5 - Prob. 8WECh. 7.5 - Prob. 9WECh. 7.5 - Prob. 10WECh. 7.5 - Prob. 11WECh. 7.5 - Prob. 12WECh. 7.5 - Prob. 13WECh. 7.5 - Prob. 14WECh. 7.5 - Prob. 15WECh. 7.5 - Prob. 16WECh. 7.5 - Prob. 17WECh. 7.5 - Prob. 18WECh. 7.5 - Prob. 19WECh. 7.5 - Prob. 20WECh. 7.5 - Prob. 21WECh. 7.5 - Prob. 22WECh. 7.5 - Prob. 23WECh. 7.5 - Prob. 24WECh. 7.5 - Prob. 25WECh. 7.5 - Prob. 26WECh. 7.5 - Prob. 27WECh. 7.5 - Prob. 28WECh. 7.5 - Prob. 29WECh. 7.5 - Prob. 30WECh. 7.5 - Prob. 31WECh. 7.5 - Prob. 32WECh. 7.5 - Prob. 33WECh. 7.5 - Prob. 34WECh. 7.5 - Prob. 35WECh. 7.5 - Prob. 36WECh. 7.5 - Prob. 37WECh. 7.5 - Prob. 38WECh. 7.5 - Prob. 39WECh. 7.5 - Prob. 1MRECh. 7.5 - Prob. 2MRECh. 7.5 - Prob. 3MRECh. 7.5 - Prob. 4MRECh. 7.5 - Prob. 5MRECh. 7.5 - Prob. 6MRECh. 7.6 - Prob. 1OECh. 7.6 - Prob. 2OECh. 7.6 - Prob. 3OECh. 7.6 - Prob. 4OECh. 7.6 - Prob. 5OECh. 7.6 - Prob. 6OECh. 7.6 - Prob. 7OECh. 7.6 - Prob. 1WECh. 7.6 - Prob. 2WECh. 7.6 - Prob. 3WECh. 7.6 - Prob. 4WECh. 7.6 - Prob. 5WECh. 7.6 - Prob. 6WECh. 7.6 - Prob. 7WECh. 7.6 - Prob. 8WECh. 7.6 - Prob. 9WECh. 7.6 - Prob. 10WECh. 7.6 - Prob. 11WECh. 7.6 - Prob. 12WECh. 7.6 - Prob. 13WECh. 7.6 - Prob. 14WECh. 7.6 - Prob. 15WECh. 7.6 - Prob. 16WECh. 7.6 - Prob. 17WECh. 7.6 - Prob. 18WECh. 7.6 - Prob. 19WECh. 7.6 - Prob. 20WECh. 7.6 - Prob. 21WECh. 7.6 - Prob. 22WECh. 7.6 - Prob. 23WECh. 7.6 - Prob. 24WECh. 7.6 - Prob. 25WECh. 7.6 - Prob. 26WECh. 7.6 - Prob. 27WECh. 7.6 - Prob. 28WECh. 7.6 - Prob. 29WECh. 7.6 - Prob. 30WECh. 7.6 - Prob. 31WECh. 7.6 - Prob. 32WECh. 7.6 - Prob. 33WECh. 7.6 - Prob. 34WECh. 7.6 - Prob. 35WECh. 7.6 - Prob. 36WECh. 7.6 - Prob. 37WECh. 7.6 - Prob. 38WECh. 7.6 - Prob. 39WECh. 7.6 - Prob. 40WECh. 7.6 - Prob. 41WECh. 7.6 - Prob. 42WECh. 7.6 - Prob. 43WECh. 7.6 - Prob. 44WECh. 7.7 - Prob. 1OECh. 7.7 - Prob. 2OECh. 7.7 - Prob. 3OECh. 7.7 - Prob. 4OECh. 7.7 - Prob. 5OECh. 7.7 - Prob. 6OECh. 7.7 - Prob. 7OECh. 7.7 - Prob. 8OECh. 7.7 - Prob. 9OECh. 7.7 - Prob. 10OECh. 7.7 - Prob. 11OECh. 7.7 - Prob. 12OECh. 7.7 - Prob. 13OECh. 7.7 - Prob. 14OECh. 7.7 - Prob. 15OECh. 7.7 - Prob. 1WECh. 7.7 - Prob. 2WECh. 7.7 - Prob. 3WECh. 7.7 - Prob. 4WECh. 7.7 - Prob. 5WECh. 7.7 - Prob. 6WECh. 7.7 - Prob. 7WECh. 7.7 - Prob. 8WECh. 7.7 - Prob. 9WECh. 7.7 - Prob. 10WECh. 7.7 - Prob. 11WECh. 7.7 - Prob. 12WECh. 7.7 - Prob. 13WECh. 7.7 - Prob. 14WECh. 7.7 - Prob. 15WECh. 7.7 - Prob. 16WECh. 7.7 - Prob. 17WECh. 7.7 - Prob. 18WECh. 7.7 - Prob. 19WECh. 7.7 - Prob. 20WECh. 7.7 - Prob. 21WECh. 7.7 - Prob. 22WECh. 7.7 - Prob. 23WECh. 7.7 - Prob. 24WECh. 7.7 - Prob. 25WECh. 7.7 - Prob. 26WECh. 7.7 - Prob. 27WECh. 7.7 - Prob. 28WECh. 7.7 - Prob. 29WECh. 7.7 - Prob. 30WECh. 7.7 - Prob. 31WECh. 7.7 - Prob. 32WECh. 7.7 - Prob. 33WECh. 7.7 - Prob. 34WECh. 7.7 - Prob. 35WECh. 7.7 - Prob. 36WECh. 7.7 - Prob. 37WECh. 7.7 - Prob. 38WECh. 7.7 - Prob. 39WECh. 7.7 - Prob. 40WECh. 7.7 - Prob. 1PCh. 7.7 - Prob. 2PCh. 7.7 - Prob. 3PCh. 7.7 - Prob. 4PCh. 7.7 - Prob. 5PCh. 7.7 - Prob. 6PCh. 7.7 - Prob. 7PCh. 7.7 - Prob. 8PCh. 7.7 - Prob. 9PCh. 7.7 - Prob. 10PCh. 7.7 - Prob. 11PCh. 7.7 - Prob. 12PCh. 7.7 - Prob. 13PCh. 7.7 - Prob. 14PCh. 7.7 - Prob. 15PCh. 7.7 - Prob. 16PCh. 7.7 - Prob. 1MRECh. 7.7 - Prob. 2MRECh. 7.7 - Prob. 3MRECh. 7.7 - Prob. 4MRECh. 7.7 - Prob. 5MRECh. 7.7 - Prob. 6MRECh. 7.7 - Prob. 7MRECh. 7.7 - Prob. 8MRECh. 7.7 - Prob. 9MRECh. 7.7 - Prob. 10MRECh. 7.7 - Prob. 11MRECh. 7.7 - Prob. 12MRECh. 7.7 - Prob. 1STCh. 7.7 - Prob. 2STCh. 7.7 - Prob. 3STCh. 7.7 - Prob. 4STCh. 7.7 - Prob. 5STCh. 7.7 - Prob. 6STCh. 7.7 - Prob. 7STCh. 7 - Prob. 1CRCh. 7 - Prob. 2CRCh. 7 - Prob. 3CRCh. 7 - Prob. 4CRCh. 7 - Prob. 5CRCh. 7 - Prob. 6CRCh. 7 - Prob. 7CRCh. 7 - Prob. 8CRCh. 7 - Prob. 9CRCh. 7 - Prob. 10CRCh. 7 - Prob. 11CRCh. 7 - Prob. 12CRCh. 7 - Prob. 13CRCh. 7 - Prob. 14CRCh. 7 - Prob. 15CRCh. 7 - Prob. 1CTCh. 7 - Prob. 2CTCh. 7 - Prob. 3CTCh. 7 - Prob. 4CTCh. 7 - Prob. 5CTCh. 7 - Prob. 6CTCh. 7 - Prob. 7CTCh. 7 - Prob. 8CTCh. 7 - Prob. 9CTCh. 7 - Prob. 10CTCh. 7 - Prob. 11CTCh. 7 - Prob. 12CTCh. 7 - Prob. 13CTCh. 7 - Prob. 14CTCh. 7 - Prob. 1CLRCh. 7 - Prob. 2CLRCh. 7 - Prob. 3CLRCh. 7 - Prob. 4CLRCh. 7 - Prob. 5CLRCh. 7 - Prob. 6CLRCh. 7 - Prob. 7CLRCh. 7 - Prob. 8CLRCh. 7 - Prob. 9CLRCh. 7 - Prob. 10CLRCh. 7 - Prob. 11CLRCh. 7 - Prob. 12CLRCh. 7 - Prob. 13CLRCh. 7 - Prob. 14CLRCh. 7 - Prob. 15CLRCh. 7 - Prob. 16CLRCh. 7 - Prob. 17CLRCh. 7 - Prob. 18CLRCh. 7 - Prob. 19CLRCh. 7 - Prob. 20CLRCh. 7 - Prob. 21CLRCh. 7 - Prob. 22CLRCh. 7 - Prob. 23CLRCh. 7 - Prob. 24CLRCh. 7 - Prob. 25CLRCh. 7 - Prob. 26CLRCh. 7 - Prob. 27CLRCh. 7 - Prob. 28CLRCh. 7 - Prob. 29CLRCh. 7 - Prob. 30CLRCh. 7 - Prob. 31CLRCh. 7 - Prob. 32CLRCh. 7 - Prob. 33CLRCh. 7 - Prob. 34CLRCh. 7 - Prob. 35CLRCh. 7 - Prob. 36CLRCh. 7 - Prob. 37CLR

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