Can I get the answer and an explanation please?

The vertex of this parabola is at (-2, 5). which of the following could be it’s equation? a. y=3(x+2)^2-5 b. y=3(x-2)^2-5 c. y=3(x+2)^2+5 d. y=3(x-2)^2+5

What are the critical values that correspond to a 95% confidence level and a sample size of 93? a. 65.647, 118.136 b. 59.196, 128.299 c. 57.143, 106.629 d. 69.196, 113.145

In which direction does the left side of the graph of this function point? f(x) = 3x3 - x2 + 4x - 2