This algebra 2 / precalculus video tutorial explains how to graph quadratic functions in standard form and vertex form. It shows you how to find the equation of the axis of symmetry, the maximum and minimum values, and how to graph using transformations. This video contains plenty of examples and practice problems including word problems.

Here is a list of topics:

1. Graphing Quadratic Functions and Equations

2. Standard Form vs Vertex Form

3. Opens Upward vs Downward – y =+x^2 vs y = -x^2

4. Maxima and Minima – Quadratic Functions

5. How to Find the X and Y coordinates of the Vertex

6. X Coordinate Vertex Equation x = -b/2a

7. Vertex Form y=a(x-h)^2+k

8. Vertex (h,k)

9. Axis of Symmetry Equation x=h

10. Domain and Range of Quadratic Functions

11. Factoring Trinomials to Find the X Intercept

12. Y intercept of Quadratic Functions

13. Graphing Using the Vertex and Transformations

14. Graphing Quadratic Functions Using a Table of Values

15. Graphing Quadratic Functions In Standard Form y=ax^2+bx+c

16. Converting Standard Form to Vertex By Using the Completing the Square Method

17. Vertex to Standard Form – Foiling Method

18. How to determine how long it takes for the ball / object to reach the maximum height

19. How to calculate the maximum height of a projectile / rock

20. how to find the time it takes for it to hit the ground

21. Using the quadratic equation to solve for t or x

22. How to write the equation of a quadratic function given the graph with the vertex and y intercept – Vertex Form

23. Writing the Equation of a Quadratic Function in Factored Form Given the X Intercepts and the Y-intercept

24. Converting Factored Form to Standard Form to Vertex Form