Math12 1 Transformations 1

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  • 1/10 Questions
    The polynomial function P(x) = x(x+1)(x+2) has three zeros: 0, -1, -2. What are the zeros of ? - ProProfs

    The polynomial function P(x) = x(x+1)(x+2) has three zeros: 0, -1, -2. What are the zeros of ?

    • 0, -1, -2
    • 0, -4, -8
    • 0, -1/4, -1/2
    • 0, 1, 2
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About This Quiz


This quiz covers topics on translations, reflections, expansions, and compressions.
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Math12 1 Transformations 1 - Quiz

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  • 2. 

    The polynomial function P(x) = x(x+1)(x+2) has three zeros: 0, -1, -2. What are the zeros of y= -2P(x)?

    • 0, 2, 4

    • 0, 1/2, 1

    • 0, -2, -4

    • 0, -1, -2

    Correct Answer
    A. 0, -1, -2
    Explanation
    The zeros of a polynomial function are the values of x for which the function equals zero. In this case, the polynomial function P(x) = x(x+1)(x+2) has zeros at x = 0, x = -1, and x = -2. When we multiply the function by -2, the zeros remain the same. Therefore, the zeros of y = -2P(x) are also 0, -1, and -2.

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  • 3. 

    If (8,-6) is a point on the graph of y=f(x), what must be the point on the graph of y= -f(2x)+3? (write your answer in the form of (x,y))

    Correct Answer
    (4,9)
    Explanation
    If (8,-6) is a point on the graph of y=f(x), it means that when x=8, y=-6.
    To find the point on the graph of y= -f(2x)+3, we need to substitute x=4 into the equation.
    When x=4, 2x=8, so we can use the point (8,-6) on the graph of y=f(x).
    Plugging in 8 for x, we get y= -f(8)+3. Since y=-6 when x=8, we have y= -(-6)+3=9.
    Therefore, the point on the graph of y= -f(2x)+3 is (4,9).

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  • 4. 
    Describe the changes from f(x): - ProProfs

    Describe the changes from f(x):

  • 5. 

    Describe the changes from f(x): y= 2f(2x+4)-5

  • 6. 

    Write the f(x) equation for the following transformation: Horizontal compression by 1/4, horizontal translation left 1, vertical translation down 2 and vertical expansion by 2.

  • 7. 
    The following graph is transformation of  . What is the equation of the graph shown? (use sqrt(x) to represent  ) - ProProfs

    The following graph is transformation of  . What is the equation of the graph shown? (use sqrt(x) to represent  )

  • 8. 
    Given , write an equation for y= -f(x). (Express  as x^3) - ProProfs

    Given , write an equation for y= -f(x). (Express  as x^3)

  • 9. 
    Given , write an equation for y= f(-x). (Express  as x^3) - ProProfs

    Given , write an equation for y= f(-x). (Express  as x^3)

  • 10. 
    The function is reflected in the  y-axis. What is the resulting, fully simplified, equation? (Express exponents with '^', for example = x^2 - ProProfs

    The function is reflected in the  y-axis. What is the resulting, fully simplified, equation? (Express exponents with '^', for example = x^2

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  • Current Version
  • Feb 08, 2024
    Quiz Edited by
    ProProfs Editorial Team
  • Jun 23, 2012
    Quiz Created by
    Mooshak
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