Maths
Grade-10
Easy

Question

One part of a dog agility course is an obstacle called an A-frame. Assume that the left corner of the A-frame corresponds to the point (0, 0). What function that includes an absolute value expression could you use to model the obstacle?

  1. f(x) = -2Ix – 6I + 10
  2. f(x) = Ix – 5I + 6
  3. f(x) = (-5/6)Ix – 5I + 6
  4. f(x) = (-6/5)Ix – 5I + 6

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) = (-6/5)Ix – 5I + 6


    We have to find the equation of the model.
    We have, Vertex of the graph is (5, 6).
    We know, f(x) = a I(x – h)I + k
    h = 5, k = 6.
    Then, y = a I(x – 5)I + 6.
    This graph passes through (0, 0).
    So, 0 = aI0 – 5I + 6
    => 5a = 0-6
    => a = -6/5.
    Thus, Function: f(x) = (-6/5) I(x – 5)I + 6.
    Hence, the correct option is D.

    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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