Question

Which of the following points is not on the graph of y=-3x^2+6x-4 ?

(6, -70)

(4, -28)

(-8, -244)

(12, -364)

Answer 1

(6, -70) is not on the graph

Explanation:

we have

`y=-3x^(2)+6x-4`

we know that

If a ordered pair is on the graph of the quadratic equation, then the ordered pair must satisfy the quadratic equation

Verify each case

Substitute the x-coordinate of the ordered pair in the quadratic equation to find the value of y and then compare the results

case 1) (6, -70)

For x=-6

`y=-3(-6)^(2)+6(-6)-4=-148`

`-148\\eq-70`

therefore

the ordered pair is not on the graph

case 2) (4, -28)

For x=4

`y=-3(4)^(2)+6(4)-4=-28`

`-28=-28`

therefore

the ordered pair is on the graph

case 3) (-8,-244)

For x=-8

`y=-3(-8)^(2)+6(-8)-4=-148`

`-244=-244`

therefore

the ordered pair is on the graph

case 4) (12,-364)

For x=12

`y=-3(12)^(2)+6(12)-4=-148`

`-364=-364`

therefore

the ordered pair is on the graph