Vertex Function

The red curve is of the function g(x)=x^2, this is the original function. Use the sliders and set the values of a=1 and h=0 ,and k=0 Use slider 'a' and keep on changing the value of 'a' from when it is positive '1' and negative '1' Describe the transformation?

Use slider 'h' and keep changing the value of 'h' to the the right and to the left. Describe the transformation?

Use slider 'k' and slide it to the right of the slider by one unit each time and then to the left. Describe the transformation?

Use slider 'a' starting from the parent function and slide it to '1' ,'2', '3' etc. what is the transformation?

Use slider 'b' starting from the parent function(original), slide it to '2, '3', '4' etc what is the transformation?

Use slider 'b' and slide it from '0.75', 0.5', 0.25'. What is the transformation?