Answer:
Option (2)
Step-by-step explanation:
Parent function has been given as,
f(x) =
When translated by 3 units left,
f(x + 3) =
g(x) =
If the translated function is stretched vertically by a scale factor = k
New function will be,
g'(x) =
Since a point (1, 4) passes lies on the transformed function.
g'(1) =
4 = 2k
k = 2
Therefore, transformed function represents the translation by 3 units in the negative side of the x-axis and stretched vertically by 2 units.
Option (2) will be the answer.
To find the midpoint of line FG, we have to use the following midpoint formula , which is
In the given question,
x1= -5, y1= -3 , x2=-3, y2=3
Substituting the values of x1,y1,x2 and y2 in the formula of the midpoint, we will get
So the midpoint of the given line is (-4,0) and hence the correct option is the first option .