The scatterplot to the left shows the cost, C, in thousands of dollars, and living space, z, in square feet (ft) for several houses in a certain neighborhood. According to the data, which of the following best approximates the cost for an additional square foot of living space for homes in this neighborhood?

f(x) = -22.45x^2 + 92.38x + 1.86

Because the points on the scatter plot show an increase in concentration from 0 hours through 2 hours and a decrease from 2 hours through 4 hours, the relationship shown is best modeled using a quadratic function.

Let's look closely at the two quadratic function choices to determine the key features of their graphs.

Because the coefficient of its x^2 -term is negative, the graph of f(x) = -22.45x^2 + 92.38 + 1.86 will be concave down and have a maximum value.

Because the coefficient of its x^2 -term is positive, the graph of f(x) = 22.45x^2 + 92.38 + 1.86 will be concave up and have a minimum value.

Because the scatter plot shown has a concave down trend, the function that best describes the relationship shown is:

f(x) = -22.45x^2 + 92.38 + 1.86

Step-by-step explanation:

step-by-step explanation:

107 units

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

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