Answer:
y = - (x - 2)² + 1
Explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (2, 1), thus
y = a(x - 2)² + 1
To find a substitute (4, - 3) into the equation
- 3 = a(4 - 2)² + 1, that is
- 3 = 4a + 1 ( subtract 1 from both sides )
- 4 = 4a ( divide both sides by 4 )
a = - 1, thus
y = - (x - 2)² + 1 ← in vertex form