The figures below are congruent. Which series of transformations maps figure ABCD onto EFGH?
A
F. rotation followed by a translation
G. rotation followed by a dilation
H. reflection followed by a translation
I. reflection followed by

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  H. reflection, translation

Step-by-step explanation:

The order of vertices ABCD is clockwise. The order of vertices EFGH is counterclockwise, so a reflection must be involved.

The orientation direction of GH is nearly vertical. The corresponding direction of CD is up to the left. A reflection can make the directions be the same, but the reflection that gets the orientation correct may not put the figure in the correct location.

So, we choose the transformations ...

  H. reflection followed by translation

translate k to n and reflect across the line containing jk.

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph