For this case, the parent function is given by:

We apply the following transformations:
Vertical translations:
Suppose that k> 0
To graph y = f (x) + k, move the graph of k units upwards:
For k = 9 we have:

Horizontal translations:
Suppose that h> 0
To graph y = f (x-h), move the graph of h units to the right
For h = 4 we have:

Answer:
The function g (x) is given by:

Answer:
G
Step-by-step explanation:
The origin in a graph is the point (0, 0) where x and y are both 0. If you move 4 units left, x is -4. And if you go down 2 units, y is -2. So the ordered pair would be (-4, -2)
Answer:
(2,3)
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
A translation 2 units to the left followed by dilation by 1/2.
The correct option is (B).
<h3>What is congruency?</h3>
It states that that two triangles are said to be congruent if they are copies of each other and when superposed, they cover each other exactly.
The complete question is:
Which of the following composition of transformations would create an
image that is not congruent to its original image?
A rotation of 45° followed by a reflection across the x-axis
A translation 2 units to the left followed by dilation by 1/2
A reflection across the y-axis followed by a rotation of 60°
A rotation of 135º followed by a translation of 4 units to the right.
After a translation of 2 units to the left followed by dilation by 1/2 the image will not be congruent to its original image.
All other options are reflection and rotation, which not fit into the situation.
Learn more about congruency here:
brainly.com/question/7888063
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