Question

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

Answer 1

Given:

There is a parabola given in the question as:

`y=-2x^2+12x-13`

Required:

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

Step-by-step 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

`y=-2(2)^2+12(2)-13=3`

and the y coordinate for x=4 is

`y=-2(4)^2+12(4)-13=3`

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

`y=-2(1)^2+12(1)-13=-3`

so the y coordinate for x=5 is

`y=-2(5)^2+12(5)-13=-3`

Final answer:

Vertex is (3,5)

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

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