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Graph the parabola y = - 2x ^ 2 + 12x - 13 five points on the parabola: the , two points to the left of the vertex, and two points to the right of the vertex. Then click on the graph-a-function button

Graph The Parabola Y 2x 2 12x 13 Five Points On The Parabola The Two Points To The Left Of The Vertex And Two Points To The Right Of The Vertex Then Click On Th class=

Answer :

Given:

There is a parabola given in the question as:

[tex]y=-2x^2+12x-13[/tex]

Required:

two points to the left of the vertex, and two points to the right of the vertex

Explanation:

First graph the parabola

as we can see that the vertex is at point (3,5)

for first point of bothe side

now at left side of vertex there is a x coordinate 2 and right side x coordinate is 4

so the y coordinate for x=2 is

[tex]y=-2(2)^2+12(2)-13=3[/tex]

and the y coordinate for x=4 is

[tex]y=-2(4)^2+12(4)-13=3[/tex]

for second point of both side

now at left side of vertex there is a x coordinate 1 and right side x coordinate is 5

so the y coordinate for x=1 is

[tex]y=-2(1)^2+12(1)-13=-3[/tex]

so the y coordinate for x=5 is

[tex]y=-2(5)^2+12(5)-13=-3[/tex]

Final answer:

Vertex is (3,5)

left points are (2,3) and (1,-3)

right points are (4,3) and (5,-3)

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