college algebra, Algebra

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how to use the factor theorem

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Problem, Solve the system algebraically. x - 2y - 3z = negative-1 2x + y ...

Solve the system algebraically. x - 2y - 3z = negative-1 2x + y + z = 6 x + 3y - 2z = negative13

Vertex, All parabolas are vaguely "U" shaped & they will contain a highest ...

All parabolas are vaguely "U" shaped & they will contain a highest or lowest point which is called the vertex.  Parabolas might open up or down and may or may not contain x-inte

Using transformation to sketch the graph, Using transformation to sketch th...

Using transformation to sketch the graph                             f ( x ) = (x - 2) 2  + 4 Solution In this part it looks as the base function is x 2 and it looks a

Completing the square, Completing the Square The first method we'll lea...

Completing the Square The first method we'll learning at in this section is completing the square. This is called it since it uses a procedure called completing the square in t

Sketch the graph of ellipses, Example:   Sketch the graph of ellipses.  ...

Example:   Sketch the graph of ellipses.                                  (x +2) 2 /9 + ( y - 4) 2 /25 =1 Solution So, the center of this ellipse is ( -2, 4) and as usua

Sketch the graph parabolas, Sketch the graph parabolas. f (x ) = 2 ( x +...

Sketch the graph parabolas. f (x ) = 2 ( x + 3) 2   - 8 Solution In all of these we will just go through the procedure given above to determine the required points and t

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