The graphs of parabolas are used to represent quadratic functions and equations
From the graph, we can see that the graph of the parabola opens downward
The graph crosses the x-axis at x = 2, and it crosses the y-axis at y = -4
So, the x-intercept is x = 2, and the y-intercept at y = -4
This is the maximum point on the graph.
So, the coordinate of the vertex is (2,0)
A parabola is represented as:
[tex]y = a(x - h)^2 + k[/tex]
The parabola opens downward.
So, we have:
[tex]y = -1(x - h)^2 + k[/tex]
The vertex is (2,0).
So, we have:
[tex]y = -1(x - 2)^2 + 0[/tex]
[tex]y = -(x - 2)^2[/tex]
Hence, the equation of the parabola is [tex]y = -(x - 2)^2[/tex]
Read more about parabolas at:
https://brainly.com/question/15189614