Answer:
The answer to your question is the first option y = -(x - 3)² + 1
Step-by-step explanation:
From the graph, we know that it is a vertical parabola with Vertex (3, 1) that opens downwards.
Equation (x - h)² = -4p(y - k)
Also from the graph we know that the parabola passes by (2, 0)
- Find p
(2 - 3)² = -4p(0 - 1)
-Simplification
(-1)² = -4p(-1)
1 = 4p
-Result
p = 1/4
- Equation of the parabola
(x - 3)² = -4(1/4)(y - 1)
-Simplification
-(x - 3)² = y - 1
-Solve for y
y = -(x - 3)² + 1
