Complete the table of values from left to right for the quadratic functiony = x + 4x +5.х. 1 -2 -1 0 1y.OA) -7,0,5, 10OB) 1, 2, 5, 10OC) 9, 4, 5, 10OD) -1,2,5, 10
Accepted Solution
A:
Answer:The values of y are 1 , 2 , 5 , 10 ⇒ answer BStep-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