Mathematics
Grade10
Easy

Question

Identify the correct graph for the equation.
y = fraction numerator 8 over denominator left parenthesis straight x space minus space 1 right parenthesis end fraction –2

Hint:

Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph.

The correct answer is:


    Seeing the options, let’s check the point (5, 0).
    If x = 5,
    y = fraction numerator 8 over denominator left parenthesis 5 space minus space 1 right parenthesis end fraction – 2 = 0
    So, (5, 0) passes through the graph. That means it can be either graph A or graph C.
    It is graph A as it is a reciprocal function and it has the shape of a hyperbola.
    Hence, the correct option is A.

    We can substitute the points lying on the graph to determine which is the graph of the given equation.

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