Question

Algebra 2 - Graphing Quadratics

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

One at a time...

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.

Answer 2

can you help me with the last one @Easyaspi314 ?

Answer 3

Thank you so much but can you tell me how the axis and vertex are related