Does y=-4+3x^2 open upwards or downwards

Upwards

Step-by-step explanation:

The general form of a quadratic is  

We can tell whether the curve opens upward or downward by the sign of "a"

If

Reaaranging the given equation:

Here, we see that a  is positive, so the curve opens Upward

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3