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Use the graph of the parabola to fill in the table.
(a) Does the parabola open upward or downward?
O upward
o downward
10
10
(b) Find the intercept(s).
For both the x- and y-intercept(s), make sure
to do the following.
• If there is more than one, separate them
with commas.
• If there are none, select "None".
x-intercept(s): 1
y-intercept(s): 1
(C) Find the coordinates of the vertex.
vertex: (D
(d) Find the equation of the axis of symmetry.
equation of axis of symmetry: 1

Use The Graph Of The Parabola To Fill In The Table A Does The Parabola Open Upward Or Downward O Upward O Downward 10 10 B Find The Intercepts For Both The X An class=

Sagot :

MrRoyal

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

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