Algebra-2

To determine how the black line y = x² transforms into the red line, we can analyze the changes:

Reflection: The negative sign in front of the squared term indicates that the graph has been reflected over the x-axis.

Horizontal Shift: The term (x+1) suggests a shift 1 unit to the left.
Vertical Shift: The term 4 indicates a shift upwards by 4 units.

Thus, the new equation that represents the red line is: 

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