Question

Graph the quadratic functions y = -2x^2 and y = -2x^2 + 4 on a separate piece of paper. Using those graphs, compare and contrast the shape and position of the graphs.

Answer 1

Find attached the document with both graphs.

The remarks are:

- both graphs have the same shape: open downward, same symetry axis, same, x-coordinate of the vertex.

- the maximum value of -2x^2 is 0

- the maximum value of -2x^2 + 4 is 4

- the graph of y = -2x^2 + 4 is the graph -2x^2 shifted 4 units upward as consecuence of having summed 4 to the function.

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