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Khan academy algebra 2 functions
Khan academy algebra 2 functions






khan academy algebra 2 functions

If you have a number multiplying x you want to factor it out.

khan academy algebra 2 functions

You want to be careful though, if you had something like sqrt(-5x+25) you may think it is moved to the left by 25, but this is not the case.

khan academy algebra 2 functions

Sqrt(-x) is reflected over the y axis, in fact any function with a -x inside of it (like (-x)^2 or 1/(-x) ) is reflected over the y axis. (Note, however, that cube root functions give value outputs for negative values for x, since you are multiplying it three times, ensuring a real number value.) Then, just "connect the dots" and you have the graph (or at least a good approximation.) All the rules of shifting and stretching functions that apply to square root functions apply to cube root functions as well. So, to graph a cube root function, you find the perfect cubes (numbers like 1 (1 x 1 x 1), 8 (2 x 2 x 2), 27 (3 x 3 x3), -1 (-1 x -1 x -1), -8 (-2 x -2 x -2), -27 (-3 x -3 x -3) etc.) and plot them on the graph. For example, the cube root of 8 is 2, because 2 x 2 x 2 is 8, just as the square root of 4 is 2, because 2 x 2 is 4. Cube roots are pretty similar to square roots, except that their value is the number that, when multiplied by itself three times, is equal to the number under the radical, just as the square root of a number is the number that, when multiple by itself twice, is equal to the number under the radical.








Khan academy algebra 2 functions