Given f(x) = x^2 − 2x − 5.

enter the quadratic function in vertex form in the box.

Step-by-step explanation:

You need to know:

Vertex form =

The vertex is at

(h, k)

Need to know about perfect squares

Need to know how to complete the square.

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To convert you need to complete the square on the equation.

Complete the Square

Divide -2 by 2 and then square it.

Add the one to the parentheses and subtract the one from the 5

Square  

Now we have

Next add -5 - 1 = -6

Our quadratic is in vertex form now.

Vertex form =

our equation =  

Vertex = (1, -6)

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.