## Friday, June 01, 2018

### Algebra 2 Problems of the Day

Daily Algebra 2 questions and answers.

More Algebra 2 problems.

June 2017, Part I

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

4. The expression 6xi3(-4xi + 5) is equivalent to
1) 2x - 5i
2) -24x2 - 30xi
3) -24x2 + 30x - i
4) 26x - 24x2i - 5i

i2 = -1, i3 = -1i = -i, i4 = i2i2 =(-1)(-1) = 1

6xi3(-4xi + 5)
-24x2i4 + 30xi3
-24x2(1) + 30x(-i)
-24x2 - 30xi

5. If f(x) = 3|x| - 1 and g(x) = 0.03x3 - 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)

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.