Question

Complete the table of values from left to right for the quadratic function

Answer 1

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