Answer:
x=-1
y=15
Step-by-step explanation:
This works because completing the square is essentially demonstrating what g(x) - where g(x) in this case = x^2 - would have to be translated by to give the function you have.
So by completing the square you have shown that the function you've been given has been shifted to the left by -1, stretched by a factor of 2 along the y axis and shifted up by 15.
The correct option will be the last one:
<em><u>Explanation</u></em>
The general equation for sinusoidal function is: , where
Amplitude,
frequency and
y-intercept
Here the maximum value is 15 and the minimum value is -3. So, the distance between maximum and minimum values is 18. That means, the Amplitude,
Frequency is given as 3 and y-intercept
is 6
So, the required function will be:
