Match the graph of the function with the function rule

Option C. is the correct option.

Step-by-step explanation:

From the graph attached for x = 0 y should be = 3.

Therefore, If we plug in the value x = 0, in the given functions y-value should be approximately 3.

A). y =

y = 2

So this option is incorrect

B).

y =  1

Incorrect option.

C).

y = 3

This option is correct.

D).

y = 4

Incorrect option.

it's answer is C. (3 , 0)

Step-by-step explanation:

given

y = x - 3

y = x² - 5x + 6

= x² - ( 3 + 2) x + 6

= x² - 3x - 2x + 6

= x ( x - 3) - 2( x - 3)

= ( x - 3) ( x - 2)

Now

we have y = x - 3

(x - 3) =( x - 3)( x - 2)

Both x -3 will be cancelled and we get

x -2 = 1

x = 1 + 2

x = 3

And now

y = 3 - 3

= 0

Hope it will help you :)