Use Pascal's Triangle to expand (y+ 3)5 completely. Group of answer choices

y5 + 15y4 + 90y3 + 270y2 + 405y+243

y5 + 15y4 + 90y3 + 270y2 + 450y + 243

y5 + 15y4 + 90y3 + 270y2 + 450y + 729

y5 + 15y4 + 90y3 + 270y2 + 405y + 729

It is given that the quadratic equation hx²-3x+k=0, where h and k are constants, has roots [tex] \beta \: and \: 2 \beta [/tex]express h in terms of k

Amachine part consists of a half sphere and a cylinder, as shown in the figure. the total volume of the part is π cubic inches.

Someone answer this asap for the function f(x) and g(x) are both quadratic functions. f(x) = x² + 2x + 5 g(x) = x² + 2x - 1 which statement best describes the graph of g(x) compared to the graph of f(x)? a. the graph of g(x) is the graph of f(x) shifted down 1 units. b. the graph of g(x) is the graph of f(x) shifted down 6 units. c. the graph of g(x) is the graph of f(x) shifted to the right 1 unit. d. the graph of g(x) is the graph of f(x) shifted tothe right 6 units.