1. A quadratic function is defined by y = (x +6) - id16213584629, annamerryberry1016

Question

Mathematics: 1. A quadratic function is defined by y = (x +6) 2 - 4. Write a new equation that shifts the graph 2 units to the left and 1 unit down.

annamerryberry1016 · Accepted Answer

The front side is 11.483 ft while the width of the building is 42.473 ft

Step-by-step explanation:

Volume of the building = 5600 ft³

Area × Width

Side² × Width

Roof dimension = Side × Width

Dimension of side = Side × Width

Dimension of front = Side × Side

Therefore we have, the cost given as follows;

Let the side = S and the width = W

Cost therefore = 13(W·S) +12(2W·S + S²) + 17(S²)

Cost therefore =29·S²+37·W·S

Therefore, we are to minimize 29·S²+37·W·S subject to W·S² = 5600

Which gives

58·S + 37·W = λₓ

37·S = λ

58·S + 37·W = 37·S

37·W = - 21·S

S = -37/21·W

W·S² = 5600

= W·(-37/21·W)² = 5600

W³ = 1803.94

W = 42.473 ft

S = √(5600/42.473)

S = 11.483 ft.

1. A quadratic function is defined by y = (x +6) 2 - 4. Write a new equation that shifts the graph 2 units to the left and 1 unit down.