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Problem

Graph the function by hand, not by plotting point…

01:11

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Problem 14 Medium Difficulty

Graph the function by hand, not by plotting points, but by starting with the graph of one of the standard functions given in Section 1.2, and then applying the appropriate transformations.

$ y = 2 \sqrt{x + 1} $


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01:32

Jeffrey Payo

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Calculus: Early Transcendentals

Chapter 1

Functions and Models

Section 3

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Multivariate Functions - Intro

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Partial Derivatives - Overview

In calculus, partial derivatives are derivatives of a function with respect to one or more of its arguments, where the other arguments are treated as constants. Partial derivatives contrast with total derivatives, which are derivatives of the total function with respect to all of its arguments.

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Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
Problem 16
Problem 17
Problem 18
Problem 19
Problem 20
Problem 21
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Problem 27
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Problem 32
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Problem 37
Problem 38
Problem 39
Problem 40
Problem 41
Problem 42
Problem 43
Problem 44
Problem 45
Problem 46
Problem 47
Problem 48
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Problem 53
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Video Transcript

Our goal is to graph y equals two times the square root of X plus one. But let's start with y equals square root X one of our standard functions. So let's remember what that looks like. We have this basic shape. It goes through 0011 for two, etcetera. Now what would it look like if I changed it to Why equals the square root of X plus one? That transformation would be a shift left one. So then we would have a point where the Vertex was at 00 Now it's going to be over here at negative 10 So it looks like that now what happens if I multiply that by two? That's going to be a vertical stretch by a factor of two, twice as tall. So what does that look like? Okay, so the point that was at negative 10 just a moment ago is still going to be at negative 10 Now, remember, Originally there was a 0.11 and that moved over 201 Well, now that's going to be twice as tall. So that's going to be at zero to. So we should did it left one, and we stretched it vertically twice. His talk

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