Write the equation of the translation of y=mx that has a graph passing through
point (h, k).

9514 1404 393

  y -k = m(x -h)

Step-by-step explanation:

To translate a function right by h units, replace x with (x -h).

To translate a function up by k units, replace y with (y -k).

The translated function is ...

  y -k = m(x -h)

Additional comment

You may recognize this as the "point-slope" form of the equation of a line. The "parent function" is the line through the origin with slope m:

  y = mx

The translation above makes it be a line through (h, k) with slope m.

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0

the answer would be c:   ax + b = ax + c

step-by-step explanation: