Mathematics
Grade10
Easy
Question
How does the function h(x) = - 3(x - 1)2 + 7 compare to the parent function?
- 1 unit to the right and 7 units down the parent function
- 4 units to the left and 1 unit above the parent function
- 1 unit to the right and 7 units above the parent function
- 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 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 x=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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