Complete the table of values from left to right for the quadratic functiony = -x + x-3.x. -5 -3 1 -1 2y. oa) 17,3, -3, 3ob) 17,3, -5, -5oc) -33, -15, -5, -5od) -33, -15, -5, 3

The values of y are -33 , -15 , -5 , -5 ⇒ answer C

Step-by-step explanation:

* We will use the substitution method to solve the problem

- The quadratic equation is y = -x² + x - 3

- The values of x are -5 , -3 , -1 , 2

- We will substitute the values of x in the equation to find the

  values of y

# At x = -5

∵ y = -x² + x - 3

∵ x = -5

∴ y = -(-5)² + (-5) - 3 = - 25 - 5 - 3 = -33

∴ y = -33

# At x = -3

∵ y = -x² + x - 3

∵ x = -3

∴ y = -(-3)² + (-3) - 3 = - 9 - 3 - 3 = -15

∴ y = -15

# At x = -1

∵ y = -x² + x - 3

∵ x = -1

∴ y = -(-1)² + (-1) - 3 = - 1 - 1 - 3 = -5

∴ y = -5

# At x = 2

∵ y = -x² + x - 3

∵ x = 2

∴ y = -(2)² + (2) - 3 = - 4 + 2 - 3 = -5

∴ y = -5

* The values of y are -33 , -15 , -5 , -5 ⇒ from left to right

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