Question 1

Damita wants to change the quadratic equation below to standard form.

y = 2(x-8)2 - 5

Which of the following could represent the first step in this process?

  1. y = (2x - 16)2 - 5
  2. y = 2(x - 13)2
  3. y = 2(x2 - 16x + 64) - 5
  4. y = 2(x2 + 64) - 5

Feedback

  1. Incorrect. Think about the order of operations.
  2. Incorrect. Think about the order of operations
  3. Correct. You expanded the binomial correctly.
  4. Incorrect. Try writing (x-8)^2 first.

    5. Question 2

    Which of the following is equivalent to the equation y = -4(x + 3)2 - 3?

    1. y = -4x2 + 6x + 6
    2. y = -4x2 - 24x - 39
    3. y = -4x2 + 24x + 24
    4. y = -4x2 + 36x + 6

    Feedback

    1. Incorrect. Don't forget to distribute.
    2. Correct. You expanded the binomial correctly.
    3. Incorrect. Adding like terms is the last step.
    4. Incorrect. Expand (x+3)^2 first.

    Question 3

    Which of the following is equivalent to (x + 7)2 ?

    1. x2 + 14x + 49
    2. x2 + 49
    3. x2 + 7x + 49
    4. x2 + 49x + 49

    Feedback

    1. Correct. You expanded the binomial correctly.
    2. Incorrect. Expand first.
    3. Incorrect. Expand first.
    4. Incorrect. After multiplying, combine like terms.

    Question 4

    Which of the following is equivalent to the equation y = 2(x - 1)2 - 7?

    1. y = 2x2 - 4x - 12
    2. y = 2x2 - 2x - 6
    3. y = 2x2 - 5
    4. y = 2x2 - 4x - 5

    Feedback

    1. Incorrect. Adding like terms is the last step.
    2. Incorrect. Don't forget to distribute.
    3. Incorrect. Expand binomial first.
    4. Correct. You expanded the binomial correctly.

    Question 5

    Which of the following is equivalent to the equation y = 5(x - 3)2 + 1?

    1. y = 25x2 - 150x + 226
    2. y = 5x2 - 6x + 10
    3. y = 25x2 - 30x + 50
    4. y = 5x2 - 30x + 46

    Feedback

    1. Incorrect. Expand binomial first.
    2. Incorrect. Don't forget to distribute.
    3. Incorrect. Adding like terms is the last step.
    4. Correct. You expanded the binomial correctly.