Question

If the equation y=3x^2+2 is translated down three units the new equation would be..

Answer 1

The new equation, after translating the original function downward by three units, is
`y=3x^2 -1.`

When you translate a function downward, you subtract a constant from the original function.

In this case, the original function is
`y=3x^2 +2`, and you want to translate it downward by three units.

So, you subtract 3 from the function. The new equation would be:

`y=3x^2 +2-3`

Simplifying this expression, you get:

`y=3x^2 -1`

Therefore, the new equation, after translating the original function downward by three units, is
`y=3x^2 -1.`