Can you help me with 5

9514 1404 393

  see below for the graph

Step-by-step explanation:

We can specify the location of the minimum and the axis of symmetry using the vertex form of the quadratic equation:

  y = a(x -h)² +k . . . . . . . vertex (h, k); scale factor 'a'

We can put the given values into the equation to see what 'a' needs to be to make the function have the desired y-intercept.

  -3 = a(0 -(-2))² +(-5)

  2 = 4a . . . . add 5 and simplify

  a = 1/2 . . . . divide by 4

The equation for the desired function can be ...

  y = 1/2(x +2)² -5

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:

the answer is c. 23/3