For the graph of the function, identify the axis of symmetry, vertex and the formula for the function.

Axis of symmetry: x = –1; Vertex: (–1, 0); f(x) = –2x2 – 2x – 1

Axis of symmetry: x = –1; Vertex: (–1, 0); f(x) = –x2 – x + 2

Axis of symmetry: x = –1; Vertex: (–1, –1); f(x) = –x2 – 2x – 1

Axis of symmetry: x = –1; Vertex: (–1, 0); f(x) = –x2 – 2x – 1

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?