Mathematics
Grade10
Easy

Question

How does the function h(x) =   - 3(x  - 1)2  + 7 compare to the parent function?

  1. 1 unit to the right and 7 units down the parent function
  2. 4 units to the left and 1 unit above the parent function
  3. 1 unit to the right and 7 units above the parent function
  4. 3 units to the left and 1 unit down the parent function

The correct answer is: 1 unit to the right and 7 units above the parent function


    The graph of f left parenthesis x right parenthesis equals a left parenthesis x minus h right parenthesis squared plus k is a translation of the function  that is translated  units horizontally and  units vertically.
    The parent function was f(x)=x2
    h(x)=-3(x-1)2+7 has +1 and +7 which are the x-intercept and y-intercept respectively.
    x-1=0 rightwards double arrowx=1
    So each coordinate including the vertex, and therefore the whole graph is shifted 1 units to the right and 7 units upward

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