Aparabola is represented by the equation x2 = 4y.

what are the coordinates of the focus of the parabola?

(0,4)
(0,1)
(1,0)
(4,0)

The answer is (B) (0, 1).

Step-by-step explanation: We are given to find the co-ordinates of the focus of the parabola represented by the following equation:

We know that the standard form of a parabola is given by

where the co-ordinates of the focus is (h, k + p).

In standard form, the parabola (i) can be written as

Comparing it with the general form (ii) of a parabola, we have

Therefore, the co-ordinates of the focus are

(h, k + p) = (0, 0 + 1) = (0, 1).

Thus, (B) is the correct option.

the red lines denote the population of the bacteria after 35 hours. that would be 2,409.24. the y-intercept is the blue line which is 800 because that is the starting point. the equation used to make the graph is 800(1.032)^h, where h is the number of hours.

step-by-step explanation:

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)