Maths
Grade-10
Easy

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?

  1. f(x) = -1.27Ix + 3.85I - 4.9
  2. f(x) = -7.7Ix + 4.9I - 4.9
  3. f(x) = -1.27Ix – 3.85I + 4.9
  4. f(x) = Ix – 7.7I + 4.9

hintHint:

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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