Maths-
SAT
Easy

Question

The graph of y=r(x) is shown in the xy-plane.

If a,b, and c are positive constants, which of the following could define the function r?

  1. r(x) = -a(x - b)2+c
  2. r(x)= -a(x + b)2+c
  3. r(x)= a(x - b)2+c
  4. r(x)=a(x + b)2+c

The correct answer is: r(x) = -a(x - b)2+c


    y = r(x) is the inverse parabola, then the co-efficient of x2 must negative. So, either option (A) or option (B) are right options.
    The two roots are differently signed. One root is positive and the second root is negative. The co-efficient of x and constant must different. We observe it is option (A).

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