Answer:
The values of y are 1 , 2 , 5 , 10 ⇒ answer B
Step-by-step explanation:
* We will use the substitution method to solve the problem
- The quadratic equation is y = x² + 4x + 5
- The values of x are -2 , -1 , 0 , 1
- We will substitute the values of x in the equation to find the
values of y
# At x = -2
∵ y = x² + 4x + 5
∵ x = -2
∴ y = (-2)² + 4(-2) + 5 = 4 - 8 + 5 = 1
∴ y = 1
# At x = -2
∵ y = x² + 4x + 5
∵ x = -1
∴ y = (-1)² + 4(-1) + 5 = 1 - 4 + 5 = 2
∴ y = 2
# At x = 0
∵ y = x² + 4x + 5
∵ x = 0
∴ y = (0)² + 4(0) + 5 = 0 + 0 + 5 = 5
∴ y = 5
# At x = 1
∵ y = x² + 4x + 5
∵ x = 1
∴ y = (1)² + 4(1) + 5 = 1 + 4 + 5 = 10
∴ y = 10
* The values of y are 1 , 2 , 5 , 10 ⇒ from left to right
