Which graph models the function f(x) = −4(2)x?

a) exponential function going through point 0, 4 and ending up on the right

b) exponential function going through point 0, negative four and ending up on the right

c) exponential function going through point 0, negative four and ending down on the right

d) exponential function going through point 0, 4 and ending down on the right

C) exponential function going through point 0, negative four and ending down on the right

Step-by-step explanation:

The given function is

When ,

The graph passes through .

The negative factor will cause the graph to be reflected in the x-axis.

Therefore the graph will end down on the right.

The correct choice is C

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.