The equation of the tangent to the curve $y = x^2 + 4x + 1$ at the point where it crosses the $y$-axis is:
Step-by-Step Solution
Key Concept: Find the point where the curve meets the $y$-axis (set $x = 0$), compute $f'(x)$ at that point, and then use the point-slope form of a line.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: (1)