Explain how the graph of f differs from the graph of g.


The graph of f is the same as the graph of g except that f has a hole at (–5, –3).

Mathematics

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Find the vertex, focus, and directrix of the parabola with the given equation.y2 + 8y = 8x + 40

A. vertex: (-7, -4) focus: (-7, -2) directrix: y = -6 B. vertex: (-7, -4) focus: (-5, -4) directrix: x = -9 C. vertex: (-7, -4) focus: (-9, -4) directrix: x = -5 D. vertex: (-7, -4) focus: (-7, -6) directrix: y = -2

Mathematics

Perform the operation indicated. Simplify. +  + 

A.
B.
C.
D.

Mathematics

Solve the problem.The orbit of a planet around a sun is an ellipse with the sun at one focus. The aphelion of a planet is its greatest distance from the sun, its perihelion is its shortest distance, and its mean distance is the length of the semimajor axis of the elliptical orbit. If a planet has a perihelion of 378.7 million miles and a mean distance of 381 million miles, write an equation for the orbit of the planet around the sun.

A.  +  = 1
B.  +  = 1
C.  +  = 1
D.  +  = 1

Mathematics

Graph and state the domain and the range of the function.g(x) = ln x - 2

A. Domain: ?
Range: (-2, ?)

B. Domain: (2, ?)
Range: ?

C. Domain: (0, ?)
Range: ?


D. Domain: (0, ?)
Range: ?

Mathematics