Question

Use the graph of the parabola to fill in the table.

Answer 1

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:

$y = a(x - h)^2 + k$

The parabola opens downward.

So, we have:

$y = -1(x - h)^2 + k$

The vertex is (2,0).

So, we have:

$y = -1(x - 2)^2 + 0$

$y = -(x - 2)^2$

Hence, the equation of the parabola is $y = -(x - 2)^2$

Read more about parabolas at:

brainly.com/question/15189614