Questions: The black graph is y=f(x). Choose the equation for the red graph. y-3=f(x) y=f(x+3) y=f(x-3) y+3=46

Solution Steps

The red graph is a vertical shift of the black graph by 3 units upward. The vertex of the black graph is at (0,0), while the vertex of the red graph is at (0,3).

A vertical shift upwards by 3 units is represented by adding 3 to the original function. Therefore, if the black graph is $y = f(x)$, the red graph is $y = f(x) + 3$. This can be rewritten as $y - 3 = f(x)$.

Final Answer