Write an equation of a parabolawith a vertex (-5,2) and a directrix y = -1.

Step-by-step explanation:

We start with the standard form of a parabola which is

We know h and k from the vertex, we just need to solve for p and then simplify the equation.  P, by definition, is the distance between the directrix and the vertex.  That is 3 units.  So p = 3.  Fitting that into our equation along with h and k gives us:

Divide both sides by 12, then add the 2 to both sides and we have our parabola!

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

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