Answer:
Option (2)
Step-by-step explanation:
ΔDEF is a dilation image of ΔABC.
Rule for the dilation,
Scale factor = 
= 
= 
= 
Therefore, scale factor by which ΔABC is dilated is
.
Option (2) will be the correct option.
m=18 when r = 2.
Step-by-step explanation:
Given,
m∝
So,
m = k×
,--------eq 1, here k is the constant.
To find the value of m when r = 2
At first we need to find the value of k
Solution
Now,
Putting the values of m=9 and r = 4 in eq 1 we get,
9 = 
or, k = 36
So, eq 1 can be written as m= 
Now, we put r =2
m = 
or, m= 18
Hence,
m=18 when r = 2.
Since the vertex is at (-3, 6), the equation is given by
y = a(x + 3) + 6
Therefore, option A is the correct answer.