2.6 Quadratic functions, Graphs, Applications

Key ideas

The parameters in a function or equation may correspond to notable geometrical features of a graph and can represent physical quantities in spatial dimensions.
Moving between different forms to represent functions allows for deeper understanding and provides different approaches to problem solving.
Different representations facilitate modelling and interpretation of physical, social, economic and mathematical phenomena, which support solving real-life problems.
Technology plays a key role in allowing humans to represent the real world as a model and to quantify the appropriateness of the model.
I can determine the, y-intercept, axis of symmetry and the vertex of a quadratic and sketch its graph.
I can demonstrate how to convert between various forms of representation such as "completing the square"

To skip ahead:

1) For how to find the X-COORDINATE of the vertex point from a STANDARD FORM equation of a parabola (like y = -2x^2 + 4x + 1), skip to time 0:16.

2) For how to find the Y-COORDINATE of the vertex, skip to time 1:34.

3) For how to get the vertex point from VERTEX FORM instead [like y = 2(x - 1)^2 + 3], skip to 2:24.

4) For what to do if the signs are confusing (ex. if the equation has X PLUS A NUMBER instead of x minus, like in y = 2(x + 3)^2 + 4), skip to 3:34.

Google Sites

Report abuse