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Factored Form Equation with Vertical Stretch of 3

Learn how to write a quadratic equation in factored form with a vertical stretch factor of 3 using the FOIL method. Practice examples included for better understanding.

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Factored Form Equation with Vertical Stretch of 3

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  1. Warm up A quadratic has a vertical stretch factor of 3, and goes through the points (5,0) and (-2,0). Write the equation for this quadratic in Factored form.

  2. Reviewing “FOIL”

  3. What is FOIL The FOIL method is ONLY used when you multiply 2 binomials. It is an acronym that tells you which terms to multiply.

  4. Example 1 • Use the FOIL method to multiply the following binomials: (y + 3)(y + 7)

  5. (y + 3)(y + 7). F tells you to multiply the FIRST terms of each binomial. y2

  6. (y + 3)(y + 7). O tells you to multiply the OUTER terms of each binomial. y2+7y

  7. (y + 3)(y + 7). I tells you to multiply the INNER terms of each binomial. y2 + 7y +3y

  8. (y + 3)(y + 7). L tells you to multiply the LAST terms of each binomial. y2 + 7y + 3y + 21 Combine like terms. y2 + 10y + 21

  9. FOIL • F-first • O-outside • I-inside • L-last

  10. Example 2 • (2a – 3b)(2a + 4b) • Answer: 4a2 + 2ab – 12b2

  11. Example 3: You try • (y + 4)(y – 3) • Answer:

  12. Example 4: You try • Hint: Remember • Answer:

  13. Example 5: You try • Answer:

  14. Example 6 • Multiply (2x - 5)(x2 - 5x + 4) • Can’t Use FOIL because they are not BOTH binomials. • Have to distribute. • First distribute the 2x, then distribute the -5.

  15. Solution • 2x(x2 - 5x + 4) - 5(x2 - 5x + 4) • 2x3 - 10x2 + 8x - 5x2 + 25x - 20 • Group and combine like terms. • 2x3 - 10x2 - 5x2 + 8x + 25x - 20 • 2x3 - 15x2 + 33x - 20

  16. You try • (3x - 1)(2x2- 3x + 6) • Answer:

  17. Homework • FOIL Puzzle

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