Answer:
5f(x + 1) - 4
Step-by-step explanation:
The equation of a circle is denoted by: (x - h)² + (y - k)² = r², where (h, k) is the centre and r is the radius.
The original function has a centre of (0, 0) and radius of 1. The new function, though, has a centre of (-1, 4) and a radius of 5. That means that the old function was moved to the left 1 unit, moved up 4 units, and dilated by a factor of 5.
In function notation, the translations would be f(x + 1) - 4. However, we also need to take into account the dilation. This would be like a vertical stretch, so we have: 5f(x + 1) - 4.
