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Graph g(x) = - Væ - 4- 1 given the graph of the parent function f(x) = VT 4 -5 -4 -3 -2 -1 I 2 3 4 -2 -4 -5 3-

Graph g(x) = - Væ - 4- 1 given the graph of the parent function f(x) = VT 4 -5 -4 -3 -2 -1 I 2 3 4 -2 -4 -5 3-

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Question 15** Graph \( g(x) = -\sqrt{x - 4} - 1 \) given the graph of the parent function \( f(x) = \sqrt{x} \). **Graph Description**: The graph presented is a transformation of the square root function. It is drawn on a coordinate plane with both horizontal and vertical axes ranging from -5 to 5. - The red curve shows the graph of \( g(x) = -\sqrt{x - 4} - 1 \). - This graph is a horizontal translation 4 units to the right of the basic square root function \( f(x) = \sqrt{x} \). - Additionally, the graph is reflected over the x-axis and shifted 1 unit downward due to the negative sign and the -1 respectively. The curve begins near the point (4, -1) and extends to the right, decreasing gradually.
Transcribed Image Text:**Question 15** Graph \( g(x) = -\sqrt{x - 4} - 1 \) given the graph of the parent function \( f(x) = \sqrt{x} \). **Graph Description**: The graph presented is a transformation of the square root function. It is drawn on a coordinate plane with both horizontal and vertical axes ranging from -5 to 5. - The red curve shows the graph of \( g(x) = -\sqrt{x - 4} - 1 \). - This graph is a horizontal translation 4 units to the right of the basic square root function \( f(x) = \sqrt{x} \). - Additionally, the graph is reflected over the x-axis and shifted 1 unit downward due to the negative sign and the -1 respectively. The curve begins near the point (4, -1) and extends to the right, decreasing gradually.
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