Interpreting Quadratic Functions
- Author:
- Carmel Gaspe-Woods
Tasks:
1. Input the quadratic function g(x) =
2. Identify the special points such as the x-intercepts or the roots; y-intercept and the vertex of g(x);
3. Set up the table of values for g(x) and identify the coordinates of its special points;
4. In the graph, plot 3 points that are mirror images of another 3 points of g(x) about its line of symmetry;
5. Identify the coordinates of the mirror points from the graph and from the table.
From the graph that you obtained for f(x) and g(x):
1. Describe the vertex of g(x).
Consider the graph of f(x) and g(x):
2. How will you compare the graphs of these two quadratic functions?
Consider the situation below:
3. A steel mill found that its hourly profit in hundreds of dollars can be modeled by the function P(t) = , where t is the number of tons of steel it produces per hour and P(t) is the profit. Which statement is correct?