What is the equation, in standard form, of a parabola that contains the following points? (1,5), (-1,9), (4,14) a) y=x^2+6x+2 b) y=x^2+6x-2 c) y=x^2-2x+6 d) y=x^2-2x-6

C) y=x^2-2x+6

Step-by-step explanation:

We are given three points

(1,5) (-1,9) and (4,14)

We can verify each options

option-A:

we will verify each points

At (1,5):

we can plug x=1 and check whether y=5

It does not satisfy point

So, this is FALSE

option-B:

we will verify each points

At (1,5):

we can plug x=1 and check whether y=5

It satisfies point

At (-1,9):

we can plug x=-1 and check whether y=9

It does not satisfy point

So, this is FALSE

option-C:

we will verify each points

At (1,5):

we can plug x=1 and check whether y=5

It satisfies point

At (-1,9):

we can plug x=-1 and check whether y=9

So, it satisfies point

At (4,14):

we can plug x=4 and check whether y=14

So, it satisfies point

so, this is TRUE