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?

When you add a constant to a quadratic equation, the vertex of the graph will change depending on whether the constant is positive or negative.

When you add a coefficient to a quadratic equation, the graph will widen or narrow depending on whether the coefficient is positive or negative.

The axis of symmetry always passes through the vertex.

The key features of a quadratic graph are vertex, axis of symmetry, intercepts, focus, latus rectum, and directrix.