Question

What happens to the graph when a number is added to
`x^(2)`?

Answer 1

Explanation:

The blue line shows that the number added on is 0. This is the basic curve from which the other two are derived.

The red line shows that the graph's vertex has moved up two units. So has every other point on the blue curve.

The green line shows that x^2 vertex has moved up 4 units. So has every other point on the blue graph.

Conclusion: if a is added onto x^2 and a is greater than 0, then the graph's vertex will move up. along to + y axis.

If a < 0 then x^2 vertex will move down when a is added to it.