Asked by ted
                how do you draw a graph of a relation
y=-x^2+4 and use appropriate transformation starting with y=x^2
            
        y=-x^2+4 and use appropriate transformation starting with y=x^2
Answers
                    Answered by
            MathMate
            
    The graph of y=x² is quite standard, so it is a good point to start.
The transformation y -> y+4 is a translation along the positive y-axis. So the graph of y=x²+4 is obtained by shifting upwards by 4 units (i.e. along the +y axis) the graph of y=x².
    
The transformation y -> y+4 is a translation along the positive y-axis. So the graph of y=x²+4 is obtained by shifting upwards by 4 units (i.e. along the +y axis) the graph of y=x².
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