Algebra 2: Chapter 6 CALCULATOR PART OF THE TEST [DONE]

Question 1

method for solving the sum of cubes

Answer 1

a^3 + b^3 = (a + b) (a^2-ab+b^2)

Question 2

method for solving the difference of cubes

Answer 2

a^3 - b^3 = (a - b) (a^2 + ab + b^2)

Question 3

vertical translation

Answer 3

f(x) + k

• • = up
• = down

Question 4

horizontal translation

Answer 4

f(x-h)

• • = left
• = right

Question 5

vertical stretch / compression

Answer 5

af(x)

• x > 0 = stretch by that factor
  x < 0 = compress by that factor

ex.
6x^3 = stretch by 6

.5x^3 = compress by .5

Question 6

horizontal stretch / compression

Answer 6

f(1/b)x

• x < 0 = compress by 1 / the factor (x)
  x > 0 = stretch by the number that is NOT 1.
  ex. (1/5x)^3 = stretch by 5
  (3x)^3 = compress by 1/5

Question 7

reflection

Answer 7

-f(x)
f(-x)

ex.
-x^3 = across the x-axis
(-x)^3 = across y-axis