210129 polynomial review through transformaion

polynomials

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Obj: The students transformation of polynomials will reveal qualities of the function which allow for more accurate organization of data making informed decisions more precise.

Vocabulary and the translation of terms will be necessary in order to increase the. transmission of higher order thinking and questioning operations.

Multiple Choice

Maximum or Minimum

• Maximum

• Minimum

Multiple Choice

Name the Axis of Symmetry

• x = 1

• x = 0

Multiple Choice

Name the vertex

• (1,1)

• (0,0)

Multiple Choice

What is the range of the function?

• [-1, +∞)
• (-1,1)
• [1.5, +∞)
• (-2, 2)

Multiple Choice

Where is the parabola decreasing?

• ( -inf, -3)

• ( -3, inf)

• (-inf, -2)

• ( -2, inf)

Multiple Choice

Is the vertex a maximum or a minimum?

• Maximum

• Minimum

Multiple Choice

What is the range of the function?

• A 4 ≤ y < ∞

• B) - ∞ < y < ∞

• C) - 9 ≤ y < ∞

• D) 7 ≤ y < ∞

Multiple Choice

How many roots does the function have?

• A 0

• B) 1

• C) 2

• D) ∞

Multiple Choice

Does the graph represent a min/max/both/neither?

• A) Minimum

• B) Maximum

• C) Both

• D) Neither

Mr. Howie Jumps to Desmos

Tranformation of a polynomial

Multiple Choice

If red represents y = x², which equation represents blue?

• y = 2x²
• y = -2x²
• y = -x²
• y = (x - 1)²

Multiple Choice

If the blue graph is
f(x) = x² 
then the red must be...

• g(x) = x² - 5
• g(x) = x² + 5
• g(x) = (x - 5)²
• g(x) = (x + 5)²

Multiple Choice

If the blue graph is
f(x) = x² 
the red must be...

• g(x) = (x + 3)²
• g(x) = (x - 3)²
• g(x) = x² + 3
• g(x) = x² - 2

Multiple Choice

The graph shows the function f(x)=x² in blue and another function g(x) in red.  Which could be the equation for g(x)?

• A.  g(x) = 2x²
• B.  g(x) = 1/2x²
• C.  g(x) = x² + 2
• D.  g(x) = (x + 2)²

Multiple Choice

  What is the equation for the red function? 

• g(x)=x³+1
• g(x)=x³-1
• g(x)=(x-1)³
• g(x)=(x+1)³

Multiple Choice

What is the name given to the point

(0 , 7)?

• A) just a plain point

• B) root

• C) y-intercept

• D) vertex

Open Ended

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