[ a: (3x + 4y)(3x + 4y), b: (x)(x + 2)(x + 2) 6. This parabola shows an equation which could be considered a quadratic”. What equation is it and “special why is it considered a special quadratic? [ y=(x–2)(x–2) perfect square trinomial; there is only one root ] 7. This parabola shows an equation which could be considered a quadratic”. What equation is it and “special why is it considered a special quadratic? [ y=(x–3)(x+3) or y= x2-9 : difference of squares; is no middle term ] 8. One type of quadratic” is called a square trinomial”. Why is this considered a “special “perfect “special quadratic”? Refer to both the equation itself and the graph of the parabola in your answer. [ A perfect square trinomial is the square of a binomial and it only has one root or x-intercept ] 9. One type of quadratic” is called a of squares”. Why is this considered a “special “difference “special quadratic”? Refer to both the equation itself and the graph of the parabola in your answer. [ A difference of squares quadratic is always in the form of y=(a+b)(a–b) and in sum form y= a2–b2. The graph of this type of parabola will have roots in which the absolute values of the roots are equal. (5 and –5, for example) ] 10. Antonio is president of Maths-R-Us and has asked his financial advisor for a report about the company’s expected profits. The advisor told him that the profits were expected to follow the equation y = 150210(0.82)x over the next 12 months. Tell Antonio everything you can tell about the company from the equation. [ Sample statements: They begin with $150,210.00 expected profit, which is decreasing at a rate of 18% per month. At the end of the year, they will have $13,882.42 expected profit. ]
[ a: (3x + 4y)(3x + 4y), b: (x)(x + 2)(x + 2) 6. This parabola shows an equation which could be considered a “special quadratic”. What equation is it and why is it considered a special quadratic? [ y=(x–2)(x–2) perfect square trinomial; there is only one root ] 7. This parabola shows an equation which could be considered a “special quadratic”. What equation is it and why is it considered a special quadratic? [ y=(x–3)(x+3) or y= x2-9 : difference of squares; is no middle term ] 8. One type of “special quadratic” is called a “perfect square trinomial”. Why is this considered a “special quadratic”? Refer to both the equation itself and the graph of the parabola in your answer. [ A perfect square trinomial is the square of a binomial and it only has one root or x-intercept ] 9. One type of “special quadratic” is called a “difference of squares”. Why is this considered a “special quadratic”? Refer to both the equation itself and the graph of the parabola in your answer. [ A difference of squares quadratic is always in the form of y=(a+b)(a–b) and in sum form y= a2–b2. The graph of this type of parabola will have roots in which the absolute values of the roots are equal. (5 and –5, for example) ] 10. Antonio is president of Maths-R-Us and has asked his financial advisor for a report about the company’s expected profits. The advisor told him that the profits were expected to follow the equation y = 150210(0.82)x over the next 12 months. Tell Antonio everything you can tell about the company from the equation. [ Sample statements: They begin with $150,210.00 expected profit, which is decreasing at a rate of 18% per month. At the end of the year, they will have $13,882.42 expected profit. ]
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