In which direction does the parabola open? y = –6x2 + 10x + 20 down up left right

1. Down is the correct answer

Step-by-step explanation:

We are given,

The equation of the parabola is .

We know that,

If the equation of parabola .

1. The x is squared, then it opens upwards or downwards.

2. If y is squared, then it opens towards left or right.

Also,

3. If 'a' is positive, then it opens upwards or towards right.

4. If 'a' is negative, then it opens downwards or towards left.

According to the given equation of the parabola, we have,

The variable 'x' is squared and the co-efficient 'a' = -6 is negative.

So, from 1 and 4, we have,

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

source: