Question

In what ways does adding a constant or coefficient to a quadratic equation affect the graph?

How are the axis of symmetry and vertex related?

What key features of a quadratic graph can be identified?

Answer 1

If you are adding a constant, then the graph is either raised or lowered k units.

For example.... If you have the graph of y = x^2 and now you add 3, so your new graph of x^2 + 3, will be the same graph as x^2 but raised vertically 3 units.
 
The graph of x^2 - 7 will be the graph of x^2 lowered vertically 7 units.


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