The equation of a parabola is given. y = ½x² + 6x + 24 what is the equation of the directrix of the parabola? enter your answer in the box.

The equation of the directrix of the parabola is

Step-by-step explanation:

we know that

The equation of a vertical parabola in standard form is equal to

where

(h,k) is the vertex of the parabola

y=k-a is the directrix of the parabola

In this problem we have

Convert to standard form

therefore

----> standard form

The vertex is the point (-6,6)

The  directrix of the parabola is

therefore

The equation of the directrix of the parabola is

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

these sign is used to tell weather the number is greater or less than the number   <   or >     but this sign means its equal =    

hope this you and

step-by-step explanation: