Parabola: Graph of the Quadratic Function
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?