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Worksheet: Solving Quadratic Equations Using Graphs and Tables

Q1:

Solve βˆ’ π‘₯ βˆ’ π‘₯ + 6 = 0 2 by factoring, and hence determine which of the following figures would be a sketch of 𝑦 = βˆ’ π‘₯ βˆ’ π‘₯ + 6 2 .

  • A
  • B
  • C
  • D
  • E

Q2:

Solve βˆ’ π‘₯ + 4 π‘₯ βˆ’ 4 = 0 2 by factoring, and hence determine which of the following figures would be a sketch of 𝑦 = βˆ’ π‘₯ + 4 π‘₯ βˆ’ 4 2 .

  • A
  • B
  • C
  • D
  • E

Q3:

Solve π‘₯ βˆ’ π‘₯ βˆ’ 6 = 0 2 by factoring, and hence determine which of the following figures would be a sketch of 𝑦 = π‘₯ βˆ’ π‘₯ βˆ’ 6 2 .

  • A
  • B
  • C
  • D
  • E

Q4:

Consider the graph:

The roots of a quadratic can be read from the graph. What are they?

  • A βˆ’ 1 2
  • B1 and βˆ’ 3
  • C βˆ’ 1 2 and βˆ’ 3 2 and βˆ’ 3
  • D βˆ’ 1 2 and βˆ’ 3 2
  • E βˆ’ 1 and 1