Quadratic Equations

Above is the quadratic equation. What happens to the graph when a=0, h=0, and k=0?

What does the graph look like when a=0, h=1, and k=1?

What does the graph look like when a=1, h=1 and k=1?

Now move the slider for a to different positive integers. Based on what you have observed, what function does the variable a play in the equation?

Move the slider for h, what function does h play in the graphing of the quadratic? How would you find the h value, when given the quadratic on a graph?

After moving the k function, what does the variable k do for the quadratic? How would you find k if just given a quadratic on a graph?

What is the difference between a quadratic with a positive a and one with a negative a? Does this stay true no matter what the h and k are?

What is the name of the highest/lowest point of a quadratic?

Is the variable a positive or negative? What is the value of h and k? What are the coordinates of the vertex?