Mathematics
Grade10
Easy

Question

If a function g(x) = (x  - 6)2 exists, it is away from the parent function as ___________.

  1. Is 6 units upward the parent function
  2. Is 6 units to the right of the parent function
  3. Is 6 units down the parent function
  4. Is 6 units to the left of the parent function.

The correct answer is: Is 6 units to the right of the parent function


    The parent function was f(x)=x2
    g(x)=(x-6)2 is identical to the parent function, except for the +6 which is the x-intercept.
    x-6=0 rightwards double arrowx=6
    So each coordinate, and therefore the whole graph is shifted 6 units to the right.
    The value of h in g left parenthesis x right parenthesis equals left parenthesis x minus h right parenthesis squared translates the graph of parent function  horizontally  units.

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