How is the graph of y(x-1)2-3 transformed to produce the graph
O
The graph is translated left 5 units, compressed vertically by a factor of 2. and translated up 3 units.
The graph is stretched vertically by a factor of 2, translated left 5 units, and translated up 3 units.
O
The graph is translated left 5 units, compressed horizontally by a factor of 2, and translated down 3 units.
O
The graph is stretched horizontally by a factor of 2, translated left 5 units, and translated down 3 units.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

1. perpendicular

2. parallel

3. perpendicular

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