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Identify the graph of f(x)=-2(x-1)2-5. Then identify the vertexd and axis of symmetry.

Identify the graph of f(x)=-2(x-1)2-5. Then identify the vertexd and axis of symmetry.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Identify the graph of f(x)=-2(x-1)2-5. Then identify the vertexd and axis of symmetry.

The image features four graphs of quadratic functions, each shown in its respective quadrant on a coordinate grid. All graphs are parabolas opening downwards. ### Top Left Graph: - The parabola is centered at the origin (0, 0) and peaks at \( y = 2 \). - The x-intercepts are approximately \(-3\) and \(2\). - The y-axis intercept is slightly below 2. - The grid lines mark units of 1. ### Bottom Left Graph: - The parabola is also centered around the y-axis with symmetry. - Its peak is approximately at \( y = 4 \). - The x-intercepts are near \(-2.5\) and \(3\). - The y-axis intercept is near 4. - This graph appears horizontally stretched compared to the first. ### Top Right Graph: - The graph is centered on the y-axis with symmetry. - The peak reaches approximately \( y = -4 \). - The curve crosses the x-axis between \(-1\) to \(2\). - The y-axis intercept is just below -4, indicating it is shifted down. ### Bottom Right Graph: - This graph is centered on the y-axis with symmetry. - Its peak is at approximately \( y = -12 \). - The x-intercepts are near \(-2\) and \(2.5\). - The parabola is more vertically compressed compared to others. These graphs illustrate how changes in coefficients affect the vertex, axis of symmetry, and intercepts of quadratic functions. Each variation demonstrates shifts, stretches, or compressions of the typical parabola.
Transcribed Image Text:The image features four graphs of quadratic functions, each shown in its respective quadrant on a coordinate grid. All graphs are parabolas opening downwards. ### Top Left Graph: - The parabola is centered at the origin (0, 0) and peaks at \( y = 2 \). - The x-intercepts are approximately \(-3\) and \(2\). - The y-axis intercept is slightly below 2. - The grid lines mark units of 1. ### Bottom Left Graph: - The parabola is also centered around the y-axis with symmetry. - Its peak is approximately at \( y = 4 \). - The x-intercepts are near \(-2.5\) and \(3\). - The y-axis intercept is near 4. - This graph appears horizontally stretched compared to the first. ### Top Right Graph: - The graph is centered on the y-axis with symmetry. - The peak reaches approximately \( y = -4 \). - The curve crosses the x-axis between \(-1\) to \(2\). - The y-axis intercept is just below -4, indicating it is shifted down. ### Bottom Right Graph: - This graph is centered on the y-axis with symmetry. - Its peak is at approximately \( y = -12 \). - The x-intercepts are near \(-2\) and \(2.5\). - The parabola is more vertically compressed compared to others. These graphs illustrate how changes in coefficients affect the vertex, axis of symmetry, and intercepts of quadratic functions. Each variation demonstrates shifts, stretches, or compressions of the typical parabola.
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We have to identify the graph of f left parenthesis x right parenthesis equals negative 2 open parentheses x minus 1 close parentheses squared minus 5. Also, We have to identify the vertexd and axis of symmetry.

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