Question

What Transformations change the graph of f(x)

Answer 1

Answer:

For this case, the parent function is given by:

f (x) = x ^ 2  

We apply the following transformations:

Horizontal translations:

Suppose that h> 0

To graph y = f (x + h), move the graph of h units to the left.

We have then for h = 5:

y = (x + 5) ^ 2  

Vertical translations :

Suppose that k> 0

To graph y = f (x) -k, move the graph of k units down.

We then have for k = 9:

g (x) = (x + 5) ^ 2 - 9  

Answer:

The graph of g (x) is the graph of f (x) 5 units to the left and 9 units to down

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