Question

Complete a table with at least 5 points then graph the following quadratic on the coordinate plane. Identify all zeros.y = -2x2 + 5x + 8

Answer 1

See attached

Explanation:

Given function:

• y = -2x² + 5x + 8

Table and graph are attached

Zeros are included in the graph

Zero's are obtained:

x = 0 ⇒ y = 8

y = 0 ⇒ Solving quadratic equation

• -2x² + 5x + 8 = 0
• x = (-5 ± √(25 + 2*4*8))/-4
• x = 3.608
• x = -1.108

So zeros are (0, 8), (3.608, 0) and (-1.108, 0)