The graphs of parabolas are used to represent quadratic functions and equations
The direction of the parabola
From the graph, we can see that the graph of the parabola opens downward
The intercepts
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
The vertex
This is the maximum point on the graph.
So, the coordinate of the vertex is (2,0)
The equation of the parabola
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