$$$ DEAL OR NO DEAL $$$.

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Presentation transcript:

$$$ DEAL OR NO DEAL $$$

$1 $$$ DEAL OR NO DEAL $$$ $1,000 $5 $5,000 $10,000 $10 1 2 3 4 5 $25,000 $25 X X X X X $50,000 $50 6 7 8 9 10 $75,000 $75 X X X X X $100,000 $100 11 12 13 14 15 X X X X X $200,000 $200 $300,000 $300 16 17 18 19 20 X X X X X $400,000 $400 $500,000 21 22 23 24 25 $500 X X X X X $ 750,000 $750 $ 1,000,000

What is the vertex form for: 𝑦=(𝑥+5)(𝑥−3) $ 25,000 Vertex: 𝑥+1 2 −16

correct factorization for the Which of the following is the correct factorization for the expression: 3 𝑥 2 +2𝑥−8 3𝑥+6 3𝑥−4 3𝑥+4 𝑥−2 3𝑥−6 𝑥+4 𝑥+2 3𝑥−4 $5,000 D

What is the standard form for: 𝑦=(𝑥+5)(𝑥−3) $ 1 Standard: 𝑦= 𝑥 2 +2𝑥−15

a correct expression for the Which of the following is not a correct expression for the expression: 3 2𝑥+4 3𝑥−1 18 𝑥 2 −30𝑥−12 6𝑥+12 3𝑥−1 6𝑥+12 9𝑥−3 2𝑥+4 9𝑥−3 $100,000 C

$500,000 Standard Form, (0, 𝑐) In which of the three forms that we studied can the y-intercept be easily identified, why and how would you find it? $500,000 Standard Form, (0, 𝑐)

What is the vertex form for: 𝑦=−3𝑥(𝑥−2) $ 1,000 Vertex: 𝑦=−3 𝑥−1 2 +3

What is the standard form for: 𝑦=−3𝑥(𝑥−2) $ 5 Standard: 𝑦=−3 𝑥 2 +6𝑥

What is the factored form for: 𝑦=2 𝑥−3 2 −6 $ 300 Factored: 𝑦=2 𝑥 2 −6𝑥+6

What is the standard form for: 𝑦=2 𝑥−3 2 −6 $ 25 Standard: 𝑦=2 𝑥 2 −12𝑥+12

A quadratic has x-intercepts of −3,0 and 4,0 , a stretch of 4 and the vertex is a minimum. What is the Standard Form of this equation? $ 200,000 Standard: 𝑦=4 𝑥 2 −4𝑥−48

A quadratic has x-intercepts of −3,0 and 4,0 , a stretch of 4 and the vertex is a minimum. What is the Factored Form of this equation? $1,000,000 Factored: 𝑦=4 𝑥+3 𝑥−4

A quadratic has x-intercepts of −3,0 and 4,0 , a stretch of 4 and the vertex is a minimum. What is the Vertex Form of this equation? $ 500 Vertex: 𝑦=4 𝑥− 1 2 2 + 49 4

X-intercepts: 5. Y-intercepts: Identify the following for the equation 𝑦= 𝑥 2 −3𝑥−10 The vertex: Direction of opening: Vertex max or min: X-intercepts: 5. Y-intercepts: $ 75,000 1. 𝟑 𝟐 ,− 𝟒𝟗 𝟒 2. Up 3. Min 4. −𝟐,𝟎 and (𝟓,𝟎) 5. 𝟎,−𝟏𝟎

X-intercepts: 5. Y-intercepts: Identify the following for the equation 𝑦=− 1 2 𝑥+3 2 +8 The vertex: Direction of opening: Vertex max or min: X-intercepts: 5. Y-intercepts: $ 750 1. (−𝟑,𝟖) 2. Down 3. Max 4. −𝟏,𝟎 and (−𝟓,𝟎) 5. 𝟎,− 𝟏 𝟐

following for the equation 𝑦=(𝑥−3)(𝑥+7) Identify the following for the equation 𝑦=(𝑥−3)(𝑥+7) Vertex max or min: X-intercepts: Y-intercepts: $ 200 1. Min 2. 𝟑,𝟎 and −𝟕,𝟎 3. 𝟎,−𝟐𝟏

following for the equation 𝑦=(𝑥−3)(𝑥+7) Identify the following for the equation 𝑦=(𝑥−3)(𝑥+7) The vertex: Direction of opening: $ 100 1. (−𝟐,−𝟐𝟓) 2. Up

What is the standard form for: 𝑦=− 𝑥+5 2 $ 10 Standard: 𝑦=− 𝑥 2 −10𝑥−25

In which of the three forms that we studied can the x-intercept(s) be easily identified, why and how would you find them? $ 400,000 Factored Form, −𝑥 1 ,0 (− 𝑥 2 ,0)

Factored Form, average of x-intercepts In which of the three forms that we studied can the axis of symmetry be easily identified and how would you find it? $ 750,000 Vertex Form, 𝑥=ℎ or Factored Form, average of x-intercepts

What is the vertex form for: 𝑦= 𝑥 2 +12𝑥−64 $ 75 Vertex: 𝑦= 𝑥+6 2 −100

Factored: 𝑦=−(𝑥+5)(𝑥+5) What is the factored form for: 𝑦=− 𝑥+5 2 $ 50,000 Factored: 𝑦=−(𝑥+5)(𝑥+5)

What is the factored form for: 𝑦= 𝑥 2 +12𝑥−64 $ 10,000 Factored: 𝑦=(𝑥+16)(𝑥−4)

What is the vertex form for: 𝑦= 1 2 𝑥 2 + 5 2 𝑥+3 $ 50 𝑦= 1 2 𝑥 2 + 5 2 𝑥+3 $ 50 Vertex: 𝑦= 1 2 𝑥+ 5 2 2 − 1 8

$ 300,000 Vertex Form, (h, k) In which of the three forms that we studied can the vertex be easily identified and how would you find it? $ 300,000 Vertex Form, (h, k)

What is the factored form for: 𝑦= 1 2 𝑥 2 + 5 2 +3 $ 400 Factored: 𝑦= 1 2 (𝑥+3)(𝑥+2)