If we transform the parabola y = (x + 1)2 + 2 by shifting 7 units to the right and 5 units down, what is the vertex of the resulting parabola?

Determine whether the set of whole numbers is closed under addition. explain why the set is or is not closed. give an example.

Triangle xyz has vertices x(1,3), y(0,0)

(b) suppose that consolidated power decides to use a level of significance of α = .05, and suppose a random sample of 100 temperature readings is obtained. if the sample mean of the 100 temperature readings is x⎯⎯ = 60.990, test h0 versus ha and determine whether the power plant should be shut down and the cooling system repaired. perform the hypothesis test by using a critical value and a p-value. assume σ = 5. (round your z to 2 decimal places and p-value to 4 decimal places.)