Which function has the greatest rate of change? plzzz asap

Find the vertex of the function given below y=x^2-6x+1

Use the function f(x) is graphed below. the graph of the function to find, f(6). -2 -1 1 2

Is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis.