1.

If f(9x)=ax^(2)+bx+c, how must a and b be related so that the graph of f(x-3) will be symmetric about the y-axis?

Answer»

a=B
b=0, a is any real number
b=3a
b=6a

Solution :The graph of the function is a PARABOLA, and the equation of its axis of symmetry is `x=-(b)/(2a)`. Since the graph of `y=f(x-3)` is the translation of `y=f(x)` 3 UNITS to the right, `f(x-3)` will be SYMMETRIC about the y-axis when f(x) is symmetric about -3.
THEREFORE, `-(b)/(2a)=-3`, or `b=6a`.


Discussion

No Comment Found

Related InterviewSolutions