Aparabola has its focus at (0, 3) and its directrix at x = 4. what is the focal length of the parabola? explain how you determined this. what is the equation, in standard form, of the parabola? explain how you determined this.

p=2

Standard form;

Step-by-step explanation:

The focal length of the parabola is the distance from the vertex to the focus of the parabola.

The focus of the parabola is (0,3).

The equation of the directrix is x=4

The distance from the focus to the direction is |4-0|=4

Half of this distance is the same as the distance from the focus to the vertex.

Therefore the focal length is

The  vertex of the parabola is (2,3)

The standard form of the parabola is

The parabola is opens along the negative x-axis

560

hope this : )

hi there!

first we need to find out how much they are adding to each number to make the next number.

ex: 4 + 4 = 8, 8 + 8 = 16, and so on.

so continuing with 32,

32 + 32 = 64

64 + 64 = 128

128 + 128 = 256

256 + 256 = 512

4, 8, 16, 32, 64, 128, 256, 512

the 8th term of the sequence will be 512

hope this ! ~