What is the equation of the quadratic graph with a focus of (4,3) and a directrix of y=-6

The correct option is B)

Step-by-step explanation:

We need to find out the quadratic graph with given focus and a directrix

Using the distance formula, we find that the distance between (x,y) and the focus (4,-3) is and the distance between (x,y) and the directrix y=-6, is

On the parabola, these distances are equal:

Simplify the above

Divide both the sides by 6,

Simplified further,

Therefore, the correct option is B)

hope it

step-by-step explanation:

x^(1/6) · x^(1/6) · x^(1/6)   ·x^(1/6) = x^(4/6)   since we add the exponents

4/6 can be simplified to 2/3

the simplified form is x^(2/3)

c is the answer

step-by-step explanation: