Transformations & Polynomial Operations

Transformations & Polynomial Operations :

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Checkpoint Redemption

By Ashley Figures

How would you describe the transformation of the graph given the function below?

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y = -5/4 (x - 3)³ - 2​

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​Some text here about the topic of discussion.

Transformations

Open Ended

Determine the inflection point given the polynomial function

y = -5/4 (x - 3)³ - 2​

Multiple Choice

Describe the transformation of the graph $$y\ =-\frac{3}{2}\left(x+8\right)^3+4$$  

• Reflected across x-axis, stretch by 3/2, left 8, down 4

• Reflected across x-axis, stretch by 3/2, left 8, up 4

• Reflected across x-axis, compression by 3/2, right 8, down 4

• Reflected across x-axis, compression by 3/2, right 8, up 4

Properties of Exponents

Multiple Choice

Simplify the exponential expression (2x²y⁴)³

• 8x⁶y¹²

• 2x⁶y¹²

• 8x⁵y⁷

• 2x⁵y⁷

Multiple Choice

Simplify.  Your answer should contain only positive exponents.

$$\frac{4x^2y^4}{6xy}$$  

• $$\frac{2xy^3}{3}$$  

• $$\frac{3xy}{2}$$  

• $$\frac{3}{2}x^3y^5$$  

• $$\frac{2x^2y^3}{3y}$$  

​Adding & Subtracting

Polynomials

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Multiple Choice

 Simplify the expression.

(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

• -7n² - 8n + 3

• -7n² - 4n + 3

• -8n² - 8n + 3

• -6n² - 8n + 3

​Multiplying Polynomials

Multiple Choice

Find the product:

(5x+2)(x²-3x+6)

• 5x³ - 17x² +24x +12

• 5x³ + 17x² - 24x +12

• 5x³ +13x² - 24x - 12

• 5x³ - 13x² + 24x +12

Dividing Monomials & Polynomials

Multiple Choice

Determine the quotient.

• 2x⁸-8x²-28x

• 8x⁷-8x-28x

• 2x⁸-2x²-7x

• 2x⁷ -2x -7

Multiple Choice

Find the quotient: $$\frac{x^3-3x^2-10x+24}{x+3}$$  

• x²-7x+5

• x-8

• x²-6x+8

• x+9