Identify the vertex, focus, and directrix of the parabola who’s equation is y^2=2x

How can the correlation in the scatter plot graph below best be described? positive correlation negative correlation both positive and negative no correlation

If x = -2, then x 2-7x+10 equals a. 0 b.20 c.28

1- 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. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?