Daily Algebra 2 questions and answers.
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__June 2017, Part I__

All Questions in Part I are worth 2 credits. No work need be shown. No partial credit.

*4. The expression 6xi*^{3}(-4xi + 5) is equivalent to

1) 2x - 5i

2) -24x^{2} - 30xi

3) -24x^{2} + 30x - i

4) 26x - 24x^{2}i - 5i

**Answer: 2) -24x**^{2} - 30xi

i^{2} = -1, i^{3} = -1i = -i, i^{4} = i^{2}i^{2} =(-1)(-1) = 1

6xi^{3}(-4xi + 5)

-24x^{2}i^{4} + 30xi^{3}

-24x^{2}(1) + 30x(-i)

-24x^{2} - 30xi

*5. If f(x) = 3|x| - 1 and g(x) = 0.03x*^{3} - x + 1, an approximate solution for the equation f(x) = g(x) is

1) 1.96

2) 11.29

3) (-0.99, 1.96)

4) (11.29, 32.87)

**Answer: 2) 11.29**

Eliminate choices 3 and 4 because the solution is a single number, not an ordered pair.

There are up to three possible intersections. If you graph them, you will find them at approximately -0.99, 0.5, and 11.29.

*6. Given the parent function p(x) =cos x, which phrase best describes
the transformation used to obtain the graph of g(x) = cos(x + a) - b,
if a and b are positive constants?
*

1) right a units, up b units

2) right a units, down b units

3) left a units, up b units

4) left a units, down b units

**Answer: 4) left a units, down b units**

Inside the parentheses, plus shifts to the left and minus shifts to the right. Outside of the parentheses, plus moves the graph up and minus moves the graph down.

Comments and questions welcome.

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