Answer:
The equation [tex]y=2x^2+1[/tex] shifts the given function 3 units upwards.
Step-by-step explanation:
We are given, the function is [tex]y=2x^2-2[/tex].
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 [tex]y=f(x)[/tex] to [tex]y=f(x)+k[/tex].
So, we get,
The new function after translation will be [tex]y=2x^2-2+3[/tex] i.e. [tex]y=2x^2+1[/tex].
Thus, the equation [tex]y=2x^2+1[/tex] shifts the given function 3 units upwards.
