write a function whose graph is the graph of y=x^2, but is shifted to the left 6 units.

Answer 1

Why don't you read your textbook and figure it out? There are examples. but anyways:

y=x^2 is a parabola, so after you draw a standard parabola, just count 6 units left for each points.

Answer 2

f(x-h) is f(x) shifted right h units. So, you want

y = (x+6)^2