Write An Equation From A Description

[nycmathguy]

Section 1.7
Questions 39-46

39.The shape of f(x) = x^2, but shifted three units to the right and seven units down.

Solution:

f(x) = (x - 3)^2 - 7

40. The shape of f(x) = x^2, but shifted two units to the left, nine units up, and then reflected in the x-axis.

Solution:

f(x) = -(x + 2)^2 + 9

41. The shape of f(x) = x^3, but shifted 13 units to the right.

Solution:

f(x) = (x - 13)^3

42. The shape of f(x) = x^3, but shifted six units to the left, six units down, and then reflected in the y-axis.

Solution:

f(x) = (-x + 6)^3 - 6


43. The shape of f(x) = ∣x∣, but shifted 12 units up and then reflected in the x-axis.

Solution:

f(x) = -| x | + 12

44. The shape of f(x) = ∣x∣, but shifted four units to the left and eight units down.

Solution:

f(x) = | x + 4 | - 8

45. The shape of f(x) = sqrt{x}, but shifted six units to the left and then reflected in both the x-axis and the y-axis.

Solution:

f(x) = -sqrt{-x + 6}


46. The shape of f(x) = sqrt{x}, but shifted nine units down and then reflected in both the x-axis and the y-axis.

Solution:

f(x) = -sqrt{-x} - 9

You say?

 

[MathLover1]

crrect

 

[nycmathguy]

crrect

Section 1.7 has been good to me. . . thus far.