Question

I need help with this question please! I have options to choose from also. Also the graph below the wording is just option A

Answer 1

Answer:

The correct option is D

Step-by-step explanation:

Given the function:

`f(x)=x^2-5x+6`

This may be written as:

`y=x^2-5x+6`

For x = -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5

we need to find the corresponding values for y.

For x = -5

y = (-5)^2 - 5(-5) + 6

= 56

For x = -4

y = (-4)^2 - 5(-4) + 6

= 42

For x = -3

y = (-3)^2 - 5(-3) + 6

= 30

For x = -2

y = (-3)^2 - 5(-2) + 6

= 20

For x = -1

y = (-1)^2 - 5(-1) + 6

= 12

For x = 0

y = (0)^2 - 5(0) + 6

= 6

For x = 1

y = (1)^2 - 5(1) + 6

= 2

For x = 2

y = (2)^2 - 5(2) + 6

= 0

For x = 3

y = 3^2 - 5(3) + 6

= 0

For x = 4

y = 4^2 - 5(4) + 6

= 2

For x = 5

y = 5^2 - 5(5) + 6

= 6

By inspection, we see that the correct option is D