1. Quadratic Functions Section 2.2

2. Objectives Rewrite a quadratic function in vertex form using completing the square. Find the vertex of a quadratic function. Find x-intercepts and y-intercepts of a quadratic function. Write a quadratic function given two points.

3. Objectives Solve a word problem involving a quadratic function. Determine how a function has been transformed given an equation or a graph. Given a description of a transformed function, write the equation of the new function.

4. Vocabulary quadratic function parabola standard form of a quadratic equation completing the square

5. Given the function below find the vertex, x-intercepts, and y-intercepts:

6. Find a function whose graph is a parabola with vertex (-2, -9) and that passes through the point (-1, -6).

7. The profit function for a computer company is given by where x is the number of units produced (in thousands) and the profit is in thousand of dollars.

8. Determine how many (thousands of) units must be produced to yield maximum profit.

9. Determine the maximum profit.

10. Determine how many units should be produced for a profit of at least 40 thousand dollars.

11. The graph of the function can be obtained from the graph of f(x) by what transformation?

12. Given after performing the following transformations, write the equation of the new transformed function: reflect over the x-axis shift upward 48 units shift 85 units to the right