Question

How does “h” and “k” shifts the graph and change the t-table of the parent function

Answer 1

"h" changes the x value, while "k" changes the y value.

Explanation:

I'm assume here you're talking about the vertex form of quadratic functions. If so, the formula is y=a(x-h)+k. The h coordinate is the x-value, while the k coordinate is the y-value.