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Minds On. Graphing Lines Reminder! Graph the following line: y = 2x - 1. Not Quadratic. Quadratic. MFM 2P – Unit 4: Algebra. Lesson 2: Expanding Part 2. Learning Goal: I can rearrange linear equations into y= mx+b form
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Minds On Graphing Lines Reminder! Graph the following line: y = 2x - 1 • Not Quadratic Quadratic
MFM 2P – Unit 4: Algebra Lesson 2: Expanding Part 2 Learning Goal: • I can rearrange linear equations into y=mx+b form • I can turn factored form quadratic equations into standard form by expanding (FOIL) and simplifying and use the two equations to graph a parabola
MFM 2P – Unit 4: Algebra Lesson 2: Expanding Part 2 Can 2 different equations really represent the same graph?
MFM 2P – Unit 4: Algebra Lesson 2: Expanding Part 2 Suppose the cost of ordering a pizza, “y”, with “x” number of toppings is given by this equation: 2y – 4x = 10 How much does it cost per topping? How would we figure that out?
MFM 2P – Unit 4: Algebra Lesson 2: Expanding Part 2 How much does it cost per topping? 2y – 4x = 10
MFM 2P – Unit 4: Algebra Lesson 2: Expanding Part 2 Try a couple more. Rearrange these equations so they look like y = mx + b: • 3y + 6x -12 = 0
MFM 2P – Unit 4: Algebra Lesson 2: Expanding Part 2 Try a couple more. Rearrange these equations so they look like y = mx + b: b) 5y – x = -20
MFM 2P – Unit 4: Algebra Lesson 2: Expanding Part 2 Review from yesterday. Expand the following: a) (x – 4)(x + 5) b) (x – 4)2
MFM 2P – Unit 4: Algebra Lesson 2: Expanding Part 2 What if there is a number out front? Y = 3(x – 4)(x + 2)
MFM 2P – Unit 4: Algebra Lesson 2: Expanding Part 2 Y = 2(x + 6)(4x + 1)
MFM 2P – Unit 4: Algebra Lesson 2: Expanding Part 2 Why do we expand again? Why do we want to turn factored form into standard form? So we can graph!
MFM 2P – Unit 4: Algebra Lesson 2: Expanding Part 2 Graph the following: Y = (x + 5) (x – 2)
MFM 2P – Unit 4: Algebra Lesson 2: Expanding Part 2 Practice: Complete worksheet