How does the graph of g(x) = x – 3 compare with the graph of the parent function, f(x) = x? a. the graph of g(x) is compressed horizontally by a factor of 3. b. the graph of g(x) is compressed vertically by a factor of 3. c. the graph of g(x) is shifted 3 units to the left. d. the graph of g(x) is shifted 3 units down.

Answer with explanation:

Parent Function

 f(x)=x

→y=x

Image of Parent Function

 g(x)= x -3

→y=x-3

When you will look at the graph of parent function , it passes through , (0,0) and from first and fourth Quadrant.

And when you will look at the graph of , Image , you will see that, it cuts ,X axis at , (3,0) and y axis at , (0,-3).

So, you can say that , function g(x) is either shifted 3 units to left or 3 units down.

Option D: →The graph of g(x) is shifted 3 units down.

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step-by-step explanation: