# Parabola: Graph of the Quadratic Function

- Author:
- gbattaly

- Topic:
- Parabola

**Parabola: Graph of the quadratic function**The blue curve shown on the graph is a PARABOLA, the graph of a quadratic function. The equation for the function is: y = a(x-h)^2 + k, where a is not 0, and (h, k) is the vertex. The sliders represent values for a which determines the steepness of shape of the curve, and the values of h and k for the coordinates of the Vertex (h, k). 1. What happens to the curve when you move the slider for a? Describe the curve when a > 0. When a < 0. 2. What happens to the curve when you move the slider for h? 3. What happens to the curve when you move the slider for k?

Answers
1. The steepness of the curve changes.
When a > 0, the curve opens up.
When a < 0, the curve opens down.
2. When h increases, the curve moves to the right.
When h decreases, the curve moves to the left.
3. When k increases, the curve moves up
When k decreases, the curve moves down.