Question

Find the standard form of the equation of the parabola with a focus at (0, -2) and a directrix at y = 2.

Answer 1

The graph below shows the relationship between pounds of dog food and total cost, in dollars, for the dog food.

A coordinate graph is shown. The label on the x axis is Weight in pounds. The label on the y axis is Total cost in dollars. There is a line connecting the points 0, 0 and 10, 5.
Select each statement about the graph that is true.

A. Point (0, 0) shows the cost is $0 for 0 pound of dog food.
B. Point (1, 0.5) shows the cost is $1.00 for 0.5 pound of dog food.
C. Point (2, 1) shows that 2 pounds of dog food cost $1.
D. Point (4, 2) shows the cost is $4 for 2 pounds of dog food.
E. Point (10, 5) shows that 10 pounds of dog food costs $5.
pls help

Answer 2

I like to doodle this first

Answer 3

the vertex is halfway between the directrix and the focus

Answer 4

so we also need to notice that the vertex will lay on the same vertical line as the focus
so that means the x-coordinate of the focus is the same as the x-coordinate of the vertex
so to determine the y-coordinate of the the vertex we must take the average of the y-coordinate of the focus and the y-coordinate of the point laying on the dirextrix

Answer 5

oops I just noticed I have the wrong focus
you have (0,-2)

Answer 6

let me fix the graph just a bit