Aparabola is given by the equation y2 = -24x. the equation of the directrix of the parabola is . the focus of the parabola is .

see explanation

Step-by-step explanation:

The standard form of the equation of a parabola with it's principal axis along the x-axis and the vertex at the origin is

y² = 4ax ( a is the distance of the directrix/ focus from the vertex )

If 4a is positive the curve opens to the right. If 4a is negative the curve opens to the left.

y² = - 24x is in this form

Hence the vertex is at the origin and the curve opens to the left.

equating 4a = - 24 ⇒ a = - 6

Hence the focus is on the x-axis with coordinates (- 6, 0 )

The directrix is a vertical line 6 units to the right of the vertex with equation x = 6

no

step-by-step explanation:

the best estimate is 3 because   8 can only go into 24 3 times