Transformation of Functions
Law of Sines/Cosines
Radians/Degrees
Exponents
Functions
100
What is a, h, and k for y = 3(x-4) + 5
a=3 h = 4 k = 5
100
T or F. Use the Law of Sines if you are given 3 sides of a triangle.
What is False
100
30 degrees = how many radians
What is pi/6
100
Simplify: [4(x^3)(y^6)]/[10(x^5)(y^-3)]
What is [2(y^9)]/[5(x^2)]
100
Given h(x) = x/4, find h(x+2)
What is (x+2)/4
200
What is a, h, and k for y = (5/x) - 3
a = 5 h = 0 k = -3
200
Find Side c. Given Triangle ABC with Angle B = 25 degrees. Angle C = 107 degrees and side b = 15 cm.
What is 34 cm
200
Convert 125 degrees to radians
What is 25pi/36
200
Simplify [(4^ -2)(x^ -1)]/[x^3]
What is 1/[16(x^4)]
200
Given f(x) = (4x/3) + 2, find the inverse of f(x).
What is 0.75x - 1.5
300
List the translation (left, up, flip, vertical stretch, etc) of y = -0.4(x - 3)^3 - 9 compared to the parent function. Also list the parent function.
Vertical Compression, Reflection over the horizontal axis, Right 3, Down 9, y = (x^3)
300
Find Angle B in triangle ABC, given a = 12 ft, b = 27 ft, and c = 20 ft.
What is Angle B = 112.7 degrees
300
Convert (- pi/12) to degrees
What is -15 degrees or 345 degrees
300
Simplify (b^-4)(b^6)(b^2)
What is (b^4)
300
Find and state the domain of f(g(x)) given f(x) = -x + 4 and g(x) = x^3.
What is f(g(x)) = -x^3 + 4. Domain = all real numbers
400
y = 0.4(2^x) + 6. State a, b, h, k, parent function, and describe the translation.
What is Vertical Compression (a = 0.4), b = 2, h = 0, k = 6, Parent: y = 1(2^x) + 0, Translated 6 units up
400
Find the area of Triangle ABC given a = 6 inches, b = 3 inches, and c = 4 inches
What is 5.3 square inches
400
1 radian = how many degrees?
What is 57 degrees
400
Simplify [4(a^5)(b^ -2)]^ -3
What is (b^6)/[64(a^15)]
400
Find f(f(x)) and its domain given f(x) = -x + 4
What is x. Domain = all real numbers
M
e
n
u