Answer:
The equation \(y=2x^2+1\) shifts the given function 3 units upwards.
Step-by-step explanation:
We are given, the function is \(y=2x^2-2\).
Now, this function is shifted 3 units upwards.
That is, the function is translated 3 units upwards.
We know,
Translation of k units up changes the function \(y=f(x)\) to \(y=f(x)+k\).
So, we get,
The new function after translation will be \(y=2x^2-2+3\) i.e. \(y=2x^2+1\).
Thus, the equation \(y=2x^2+1\) shifts the given function 3 units upwards.
