Write the equation of a parabola with vertex (-5,8) and directrix x=2. show all of your work and put your equation in graphing/vertex form.

ANSWER

EXPLANATION

We want to write the equation of a parabola with vertex (-5,8) and directrix x=2.

The equation of the directrix tells us that, the axis of symmetry of the parabola is parallel to the x-axis.

This type of parabola has equation of the form:

p is the focal length of the parabola.

p=-7 because the parabola opens along the negative x-axis.

Hence the equation is

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.

answer: a and c are correct

step-by-step explanation:

the +5 is the vertical translation

the added negative symbol in front is the reflection over the y-axis