Select the correct answer.

the vertex of a parabola is at the point (3.1), and its focus is at (3.5), what function does the graph represent?

a. f(x) = 1/16(x - 3)² - 1
b. f(x) = 1/4(x + 3)² - 1
c. f(x) = 1/4(x - 3)² - 1
d. f(x) = 1/16(x - 3)² + 1

Step-by-step explanation:

The vertex of the parabola is at the point (3,1) and its focus is at (3,5).

Therefore, the axis of the parabola is x = 3 and the direction is positive y-axis.

{Since focus is above the vertex.}

Therefore, the equation of the parabola can be written as  

(x - 3)² = 4a(y - 1)

Where, a is the length between vertex and the focus which is (5 - 1) = 4

{Length is measured along x = 3 line}

So, the final equation of the parabola is (x - 3)² = 4 × 4(y - 1) = 16(y -1)

Now, rearranging the equation we get,

Therefore, option D is correct. (Answer)

i think the answer is b.

step-by-step explanation:

not 100% sure though.

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.