Answer:
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
