Answer:
#3
Step-by-step explanation:
Suppose that X is a vertical segment that lies on the y-axis with its beginning at origin and ending at the point (0,4). Then the length of this segment is 4 units.
If you vertically compress this segment by factor of 1/4 with the centre of compression at the origin, you recieve a segment that also lies on the y-axis with its beginning at origin and ending at the point (0,1) (the length of this image segment is 1 unit).
So, the question is: if a segment that lies on the y-axis with its beginning at origin and ending at the point (0,4) is vertically compressed <span>by factor of 1/4 with the centre of compression at the origin, what is the image of this transformation?
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Answer:
Option 4: (x+1)^2+(y-1)^2 = 16
Step-by-step explanation:
The radius of the given circle in attached picture is: 4 units
The center is denoted by (h,k) = (-1,1)
So,
The standard form of equation with center at (h,k) and radius r
(x-h)^2 + (y-k)^2 = r^2
Putting the values
(x-(-1))^2 + (y-1)^2 = 4^2
(x+1)^2+(y-1)^2 = 16
Hence option number 4 is correct ..
