Answer:
Step-by-step explanation:
(x-3)² - 7 = (5-3)²-7
= 2²-7
= 4 - 7
= -3
For this case , the parent function is given by [tex f (x) =x^2
[\tex]
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
[tex]h(x)=x^2+9
[\tex]
Horizontal translation
Suppose that h>0
To graph y=f(x-h) , move the graph of h units to the right
For h=4 we have :
[tex ] g (x) =(x-4) ^ 2+9
[\tex]
Answer :
The function g(x) is given by
G(x) =(x-4)2 +9
Answer:
91
Step-by-step explanation:
<h3>
Answer: (-1, 1)</h3>
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Explanation:
The rotation rule we use is 
The x and y coordinates step places, then the second coordinate (after the swap) changes in sign from positive to negative, or vice versa.
For example, the point (5,7) rotates to (7, -5). As another example, (2,-1) becomes (-1, -2). As another example, (-9,4) becomes (4,9).
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In our case, the point (-1,-1) will rotate to (-1, 1)
Note: A 270 degree counterclockwise rotation about the origin is the same as a 90 degree clockwise rotation about the origin. Refer to the diagram below.
Answer: 3x - 9
Step-by-step explanation: "9 less than three times a number" does not mean 9 minus three times a number, less than actually switches the order around so that 9 less than three times a number actually means three times a number minus 1 which can be read as 3x - 9.