Me i really would appreciate using a directrix of y = −3 and a focus of (2, 1), what quadratic function is created?

y = (1/8)x^2 - (1/2)x - 1/2.

Step-by-step explanation:

The graph is a parabola.

The distance from any point on the graph to the focus and to the directrix are equal. So:

sqrt ( (x - 2)^2 + (y - 1)^2 ) = y - (-3)

Squaring both sides:

(x - 2)^2 + (y - 1)^2 = (y + 3)^2

x^2 - 4x + 4 + y^2 - 2y + 1 =  y^2 + 6y + 9

x^2 - 4x + 5 - 9 = y^2 - y^2 + 2y + 6y

8y = x^2 - 4x - 4

y = (1/8)x^2 - (1/2)x - 1/2  is the required quadratic function.

  the correct choice is marked

step-by-step explanation:

the first two graphs show multiple turning points. the last graphs matches the description in every detail.

answer:

step-by-step explanation:

here, the total dishes = 10

dishes having meat = 3 ( chicken, meatloaf and hamburger )

thus, the probability of having meat on the chosen dishes = number of dishes having meat / total dishes

=

therefore, the probability of not having meat = 1- the probability of having meat on the chosen dishes

=

=

=

⇒ option b is correct.