Solving Quadratics by Graphing

Q1. What are the possible pairs of numbers that satisfy the equation?

• 4 and 2

• -4 and -2

• 4 and -2

• -4 and 2

• -1 and 3
• 1 and -3
• 1 and 3
• -1 and -3

What is another word that describes the zeroes of a quadratic function?  

• y-intercepts

• vertex

• x-intercepts

• maximum

Tags

CCSS.HSF-IF.C.7D

How many zeros does this parabola have? 

• 3

• 2

• 0

• 1

Tags

CCSS.HSF-IF.C.7A

• (-3,0) and (6,0)

• (-1.5,0) and (2,0)

• (-3,0) and (3,0)

• (-.5,0) and (6,0)

• (-3,0) and (6,0)

• (-1.5,0) and (2,0)

• (-3,0) and (3,0)

• (-.5,0) and (6,0)

Answer explanation

The quadratic equation can be factored as (x-3)(x-3) = 0, which simplifies to (x-3)^2 = 0. Therefore, x = 3 is the only solution.

Solve by graphing:

2x² + 17x + 21 = 0

• x= ^-21/₂ or x = -17

• x= ²/₃ or x = 16

• x=-7 or x = ^-3/₂

• x=15 or x = -³/₇

Solve by graphing: x² + 3x - 18 = 0

• x = -3 and x = 6

• x = 3 and x = -6

• x = -9 and x = 2

• x = 9 and x = -2

Answer explanation

The correct roots of the quadratic equation are x = 0 and x = 4 after graphing the equation.