Aparabola has a vertex at (0,0). the focus of the parabola is located at (4,0). what is the equation of the directrix? x =

The equation of directrix is x=-4.

Step-by-step explanation:

Given information: The vertex of the parabola is (0,0) and the focus of the parabola is (4,0).

A general equation of parabola is defined as

Where (h,k) is vertex, (h+p,k) is focus and x=h-p is directrix.

The vertex of the given parabola is (0,0).

The focus of the parabola is (4,0).

The value of p is 4.

The directrix of the parabola is

Therefore the equation of directrix is x=-4.

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.