The graphs below have the same. what is the equation of the red graph?

g(x) = 3 - x² or -x² + 3

Step-by-step explanation:

the graph of f(x) = 4 - x² or -x² + 4

the + 4 at the end represents a vertical shift up from the origin (0,0) after being reflected on the x-axis. we see that g(x) follows the reflection on the x-axis, but it is shifted down from f(x) by 3 units. from the origin though, its shifted up 3 units. therefore the equation would be:

g(x) = 3 - x² or -x² + 3, both of these equations are correct

so, converting firstly the mixed fractions to improper fractions and then "adding".