Question

The graph of the equation y = 2x2 - 2 is shown. Which equation will shift the graph up 3 units?

Answer 1

y=2x2-2+3
im pretty sure its like that or like this
y=2x2+1

Answer 2

The equation
`y=2x^2+1` shifts the given function 3 units upwards.

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.