If f(x) = x^2, draw the graph of y = f(x) + 3
We can first draw the graph of y = f(x) = x^2 which is a simple graph like this (whiteboard). Now looking at y = f(x) + 3, we can see that this is a translation by the vector [0 3]. Therefore we can translate our y = f(x) graph by 0 in the x-direction, and +3 in the y-direction. This means we 'slide' our graph up by 3 units in the y-direction, to get this graph (whiteboard). And that is our answer!
MS
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