Transformation involves changing the form of a function. The function that represents is C; ![g(x) =- \sqrt[3]{x+1}](https://tex.z-dn.net/?f=g%28x%29%20%3D-%20%5Csqrt%5B3%5D%7Bx%2B1%7D)
<h3>What is a function?</h3>
The function is a type of relation, or rule, that maps one input to specific single output.
Function f(x) is given byy;
![g(x) = \sqrt[3]{x}](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%5Csqrt%5B3%5D%7Bx%7D)
f(x) is reflected across the x-axis.
The rule of this transformation (i.e. reflection) is:
(x, y) ⇒ (x, - y)
So,
This gives
![f'(x) = - \sqrt[3]{x}](https://tex.z-dn.net/?f=f%27%28x%29%20%3D%20-%20%5Csqrt%5B3%5D%7Bx%7D)
Now, f'(x) is translated 1 unit left
The rule of this transformation (i.e. translation) is:
(x, y) ⇒ (x+ 1, y)
So,
g(x) = f'(x+ 1)
This gives
![g(x) = -\sqrt[3]{x+1}](https://tex.z-dn.net/?f=g%28x%29%20%3D%20-%5Csqrt%5B3%5D%7Bx%2B1%7D)
Hence, the function that represents g(x) is (c)
Learn more about function here:
brainly.com/question/2253924
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Answer:
A. y = 7(x + 1)²-3
Step-by-step explanation:
Parabola:
Putting into vertex form, remember that:
In this question:
, to put into this format:
We add one inside the parenthesis to do this. The parenthesis is multiplied by 7, so for the equivalent, we also have to subtract 7. Then
Vertex form:
So the correct answer is:
A. y = 7(x + 1)²-3
Answer: 11355ml
Step-by-step explanation: It gives you how many milliliters are in one gallon.
Answer:
a) y = 2x + 5, b) y = 2x-2
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask! ;)
