oad. 1. Write the equation of the circle that has a diameter with endpoints (-7, 2) &( 3, - 5). 2. Determino th

Algebra and Trigonometry (6th Edition)
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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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1. Write the equation of the circle that has a diameter with endpoints (- 7,2) & ( 3, - 5).
2. Determine the center and radius of the circle: x² + y² + 6y – 4x - 2 = 0
3. Specify the domain of the function: h (x) = **³
V4-a²
4. Write the slope-intercept equation for the line that passes through (- 2, - 3) and is perpendicular to
this line: -3x - 5y = -10
5. Write the vertex form of the quadratic function: g (x) = -2x² – 6x - 1
6. A rectangular fence around a vegetable garden uses 218 feet of fencing.
a) Write the width 'w' of the fence as a function of the length '.
b) Use algebra (no guessing!) to find the exact dimensions (length & width) of the region that gives the
greatest enclosed area.
7. Let f (x) =
Without referring to its graph, test f (x) to determine if it is an even function,
2x+3
an odd function, or neither of these.
8. Refer to the pdf for parts a & b: Question8.pdf +
Do a separate graph for each of the following:
a) Use the graph of f (x) shown in the pdf to sketch the graph a second function g (x) that is
symmetric to f (x) with respect to the origin. Write the coordinates of four points on this symmetric
b) Use the graph of f (x) shown in the pdf to sketch the graph of g (x) = -f (x – 3) + 2 . Write the
coordinates of four points on g(x).
graph.
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Transcribed Image Text:Netflix • When you are finished, scan your answers as pdfs and upload a single file to 'T1 Upload'. MyPalomar Canvas 1. Write the equation of the circle that has a diameter with endpoints (- 7,2) & ( 3, - 5). 2. Determine the center and radius of the circle: x² + y² + 6y – 4x - 2 = 0 3. Specify the domain of the function: h (x) = **³ V4-a² 4. Write the slope-intercept equation for the line that passes through (- 2, - 3) and is perpendicular to this line: -3x - 5y = -10 5. Write the vertex form of the quadratic function: g (x) = -2x² – 6x - 1 6. A rectangular fence around a vegetable garden uses 218 feet of fencing. a) Write the width 'w' of the fence as a function of the length '. b) Use algebra (no guessing!) to find the exact dimensions (length & width) of the region that gives the greatest enclosed area. 7. Let f (x) = Without referring to its graph, test f (x) to determine if it is an even function, 2x+3 an odd function, or neither of these. 8. Refer to the pdf for parts a & b: Question8.pdf + Do a separate graph for each of the following: a) Use the graph of f (x) shown in the pdf to sketch the graph a second function g (x) that is symmetric to f (x) with respect to the origin. Write the coordinates of four points on this symmetric b) Use the graph of f (x) shown in the pdf to sketch the graph of g (x) = -f (x – 3) + 2 . Write the coordinates of four points on g(x). graph. tv A MacBook Pro
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