Solutions to Quadratics

Solve the quadratic.

• 9

• -9

• 0, 9

• 0, -9

Lisa solves a quadratic equation as shown. Which of these best describes the error in Lisa’s work?

• The last line should be 𝑥 = 2 or 𝑥 = 8.

• The 6 should have been subtracted from both 6 and 𝑥² + 2𝑥 − 8 before factoring.

• Only (𝑥 + 4) or (𝑥 − 2) should be set equal to 6, not both factors.

• The 6, 2, and −8 should be simplified to 3, 1, and −4 before factoring.

What are the zeros of the function 𝑓(𝑥) = 3𝑥² − 3𝑥 − 18?

• 2 and -3

• -2 and 3

• 6 and -3

• -6 and 3

The graph of a function 𝑓 is shown. What are the approximate solutions to 𝑓(𝑥) = 0? Select all that apply

• x = -2

• x = -1

• x = 0

• x = 1

• x = 3

Select all the equations that have exactly one solution.

• 𝑥² + 3𝑥 + 2 = 0

• −𝑥² + 4𝑥 − 4 = 0

• 2𝑥² + 𝑥 − 1 = 0

• 4𝑥² + 4𝑥 + 1 = 0

• 4𝑥²+ 4𝑥 + 2 = 0

What are the solutions of the equation 4𝑥² − 2𝑥 + 2 − 3𝑥 − 𝑥² = 0?

• 1 and 2

• 1 and 2/3

• -1 and -2

• -1 and -2/3

What is the equation of the axis of symmetry for the graph of 𝑔(𝑥) = (𝑥 + 5)(𝑥 − 3)?

• x = -5

• x = -1

• x = 0

• x = 3

The axis of symmetry line passes through which point?

• y-intercept

• any random point

• vertex

• symmetrical point for the vertex

Which equation is graphed above?

Which equations matches the graph above?