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The graph of y = f(x) is shown below. -7-6-5-4-3- T .F. 5 4 3 2 1 2 3 4 4 H 3 4 5 6 7

The graph of y = f(x) is shown below. -7-6-5-4-3- T .F. 5 4 3 2 1 2 3 4 4 H 3 4 5 6 7

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Draw the graph of y=f(1/3x−1)−4 by moving the vertex and adjusting the width.

 
**Graph of a Quadratic Function** The graph of \( y = f(x) \) is shown below. The graph is a parabola opening upwards, centered at the origin (0,0) on a Cartesian coordinate plane. The x-axis ranges from -7 to 7, and the y-axis ranges from -7 to 7, with tick marks indicating each unit. The vertex of the parabola is at the origin, and it symmetrically extends upwards. **Task** Draw the graph of \( y = f\left(\frac{1}{3}x - 1\right) - 4 \) by moving the vertex and adjusting the width. In this transformation: - The expression \(\frac{1}{3}x\) indicates a horizontal stretch by a factor of 3. - The "-1" inside the parentheses results in a horizontal shift to the right by 1 unit. - The "-4" outside moves the graph vertically downward by 4 units.
Transcribed Image Text:**Graph of a Quadratic Function** The graph of \( y = f(x) \) is shown below. The graph is a parabola opening upwards, centered at the origin (0,0) on a Cartesian coordinate plane. The x-axis ranges from -7 to 7, and the y-axis ranges from -7 to 7, with tick marks indicating each unit. The vertex of the parabola is at the origin, and it symmetrically extends upwards. **Task** Draw the graph of \( y = f\left(\frac{1}{3}x - 1\right) - 4 \) by moving the vertex and adjusting the width. In this transformation: - The expression \(\frac{1}{3}x\) indicates a horizontal stretch by a factor of 3. - The "-1" inside the parentheses results in a horizontal shift to the right by 1 unit. - The "-4" outside moves the graph vertically downward by 4 units.
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Parent function f(x)=y=x2

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