Question
Emma wants to model the sides of a pyramid by using a function that includes an absolute value expression. Emma will place the pyramid on a coordinate grid as shown. What function should she use?

- f(x) = -1.27Ix + 3.85I - 4.9
- f(x) = -7.7Ix + 4.9I - 4.9
- f(x) = -1.27Ix – 3.85I + 4.9
- f(x) = Ix – 7.7I + 4.9
Hint:
A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.
The correct answer is: f(x) = -1.27Ix – 3.85I + 4.9
We have to find the equation of the function.
We have, Vertex is (7.7/2, 4.9) i.e. (3.85, 4.9).
Then, h = 3.85 and k =4.9.
We know, f(x) = a I(x – h)I + k.
y = a I(x – 3.85)I + 4.9.
Two sides of the pyramid pass through (0, 0).
0 = aI0 – 3.85I + 4.9
=> 3.85a = -4.9
=> a = -1.27.
Hence, f(x) = -1.27Ix – 3.85I + 4.9 and the correct option is C.
A function is generally denoted by f(x) where x is the input. The general representation of a function is y = f(x).
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