Answer:
y = -1.5 (x - 2)² + 5
Step-by-step explanation:
recall the formula for a parabola:
y = a(x – h)² + k
where (h, k) is the vertex
given the vertex (2,5), we have
y = a (x - 2)² + 5
We are also given that the point (4, -1) lies on our parabola
-1 = a (4 - 2)² + 5 take 5 from both sides
-6 = 4a divide both sides by 4
-1.5 = a
giving us the equation
y = -1.5 (x - 2)² + 5
