Explanation Given: The parabola is y = x 2 . The graph is: Calculation: The parabola is y = x 2 . The function f ( x ) is 3 units to the right and 4 units down. Also, we know that, y = f ( x − c ) , this shifts the graph of f ( x ) horizontally c units to the right. So, the function shifted 3 units to the right. Thus, y = f ( x − 3 ) The function is 4 units down

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.

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Chapter 1.1, Problem 76E

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Find the function $f$ whose graph is obtained by shifting the parabola $y=x2$ by 3 units to the right and 4 units down.

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Chapter 1.1, Problem 75E

Chapter 1.1, Problem 77E

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Find all values x = a where the function is discontinuous. For each value of x, give the limit of the function as x approaches a. Be sure to note when the limit doesn't exist. f(x)=4x²+7x+1 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. (Use a comma to separate answers as needed.) OA. f is discontinuous at the single value x = B. f is discontinuous at the single value x = OC. f is discontinuous at the two values x = OD. fis discontinuous at the two values x = OE. f is discontinuous at the two values x = The limit is The limit does not exist and is not co or - oo. The limit for the smaller value is The limit for the larger value is The limit for both values do not exist and are not co or - co. The limit for the smaller value does not exist and is not oo or - co. The limit for the larger value is

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Chapter 1 Solutions

Calculus - Standalone book

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Find the function f whose graph is obtained by shifting the parabola y = x 2 by 3 units to the right and 4 units down.

Solution Summary: The author explains the function f, whose graph is obtained by shifting the parabola by 3 units to the right and 4 units down.

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Find the function $f$ whose graph is obtained by shifting the parabola $y=x2$ by 3 units to the right and 4 units down.

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Find the function f whose graph is obtained by shifting the parabola y = x 2 by 3 units to the right and 4 units down.

Solution Summary: The author explains the function f, whose graph is obtained by shifting the parabola by 3 units to the right and 4 units down.

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Find the function f<m:math><m:mi>f</m:mi></m:math> whose graph is obtained by shifting the parabola y=x2<m:math><m:mrow><m:mi>y</m:mi><m:mo>=</m:mo><m:msup><m:mi>x</m:mi><m:mn>2</m:mn></m:msup></m:mrow></m:math> by 3 units to the right and 4 units down.

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Find the function $f$ whose graph is obtained by shifting the parabola $y=x2$ by 3 units to the right and 4 units down.