Mathematics
Grade10
Easy
Question
If g(x) = 3(x - 2)2 + 1 is a translation of g(x) = 3x2, then it is _______________.
- 2 units to the right and 1 unit down the parent function
- 4 units to the left and 1 unit down the parent function
- 2 units to the left and 3 units above the parent function
- 3 units to the right and 1 unit down the parent function
The correct answer is: 2 units to the right and 1 unit down the parent function
The parent function was g(x)=3x2
g(x)=3(x-2)2+1 has +2 and -1 which are the x-intercept and y-intercept respectively.
x-2=0 
x=2
So each coordinate including the vertex, and therefore the whole graph is shifted 2 units to the right and 1 units downward.
The graph of 
is a translation of the function f(x) = ax2 that is translated units horizontally and units vertically.
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