Find the equation of the parabola with its focus at (3,4) and its directrix y = 0. Question 12 options: A) y = 1∕8(x – 3)2 + 2 B) y = –1∕8(x – 3)2 + 2 C) y = 1∕8(x – 3)2 – 2 D) y = –1∕8(x – 2)2 + 3

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.

thus, the first answer choice, y = sec x, is the correct one

divide the numbers

step-by-step explanation: