Analyze the graph and write the equation of the function it represents in standard form f(x) = a(x - h)2 + k.

A. f(x) = (x + 3)2
B. f(x) = -(x + 3)2
C. f(x) = (x - 3)2
D. f(x) = -(x - 3)2


Answer: A

Mathematics

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Find the domain and range of the inverse of the given function.f(x) = 3.1 + 0.87x

A. Domain: [3.1, ?); range: all real numbers B. Domain and range: all real numbers C. Domain: all real numbers; range: (-?, 3.1] D. Domain: all real numbers; range: [3.1, ?)

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Graph the system of inequalities.2x + y ? 4 x - 1 ? 0

A.

B.

C.

D.

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Solve the problem.Ultraviolet radiation from the sun is thought to be one factor causing skin cancer. The amount of UV radiation a person receives is a function of the thickness of the earth's ozone layer which depends on the latitude of the area where the person lives. The following data represent the latitudes and melanoma rates for nine randomly selected areas in the United States. The melanoma rates refer to a three-year period.   Graph the data on a scatter diagram treating latitude as the independent variable. Find an equation of the line containing the points -4.0px;" /> and  Express the relationship using function notation. Graph the line on the scatter diagram. Interpret the slope of the line. Use the line to predict the melanoma rate of an area with a latitude of 33.6 degrees north.  

What will be an ideal response?

Mathematics

Solve using the substitution method.x + y = -5y = -5x + 3

A. (3, -15) B. (2, -7) C. (1, -5) D. (-7, 2)

Mathematics