What is the equation of the quadratic graph with a focus of (1, 1) and a directrix of y = −1? a) f(x) = −one fourth (x − 1)2 + 1 b) f(x) = −one fourth (x − 1)2 c) f(x) = one fourth (x − 1)2 + 1 d) f(x) = one fourth (x − 1)2

Answer is option D) y=

Step-by-step explanation:

Quadratic graph with a focus and a directrix is a parabola as in the picture attached.

Now we assume a point (x,y) is given on the parabola.Focus of parabola be the point O(1,1) and the directrix y=(-1)

As we know that in a parabola distance OP is equal to the distance between P and directrix y=(-1)

Therefore OP = distance from directrix y = (-1)

=

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