Triangle Applications
Vectors
Parent Functions
Transformations
Piece-wise Functions
100
The Law of Sine is...
100
To find the direction angle, what do you need to know about the vector?
What quadrant is it in?
100
The parent function for this graph is...
What is the Cube Root function?
100
Describe how the graph of y=|x|+3 has been transformed from the basic function f(x)=|x|.
What is shift up 3 units?
100
y= ___ when x=3.
What is 12?
200
To use the cosine rule to find a side, you must know...
What is the other 2 sides and the included angle, or all 3 sides of the triangle?
200
Find the magnitude and direction angle of the vector u = 6i - 10j
What is
|u| = 2√39
Θ = 300.96° ?
200
The parent functions that have a domain of (−∞,∞) and a range of [0,∞) are...
What are Absolute Value and Quadratic functions?
200
Describe how the graph of y=4x3 has been transformed from the basic function f(x)=x3.
What is a vertical stretch by a factor of 4?
200
y=___ when x=0.
What is -9?
300
In triangle ABC, m∠C=30∘, BC=40, and AC=20. Find the area of the triangle.
What is 200?
300
Find the angle Θ between <-14,-6> and <3,7>
What is Θ =136.397°?
300
The domain and range for this parent function is...
What is Domain: (−∞,0)∪(0,∞) and Range: (−∞,0)∪(0,∞) ?
300
Describe how the graph of y=(4x)3 has been transformed from the basic function f(x)=x3.
What is a horizontal compression by a factor of 1/4?
300
Determine the value of f(1) if the function is
What is f(1)=1?
400
The area of a triangle is 18 square feet and the base is 3 feet. Find the height.
What is 12 feet?
400
A 300lb force makes an angle of 35° with the positive x-axis and another force of 125lbs makes an angle of 85° with the positive x-axis. Find the direction and magnitude of the resultant force.
What is 325lbs and 57.56° ?
400
The parent function for this table is...
y = csc(x)
400
Find the equation of the new graph if the function of f(x)=3x+2 is reflected over the y-axis.
What is g=3(-x)+2?
400
For the function f(x) defined below, the value of f(x) when x=3 is...
What is 8?
500
Three dogs are sitting in a kitchen and waiting to get their dog food. Dog A is 4.5 feet from Dog B, and Dog C is 2.5 feet from Dog A, as shown in the diagram below. Note that the three dogs’ positions form a right (90°) angle.
The angles formed at Dogs A and B to the dog food are 40° and 80°, respectively.
How far is Dog C from the dog food?
What is 4 feet?
500
A ship is sailing with a bearing of 50° with a nautical speed of 300. There is a current of 35 nautical miles an hour bearing in the direction of 120°. Find the course and nautical speed of the ship.
What is 313.7n mph and 56.02° bearing?
500
The parent function that has a domain of
x≠π/2+πk, a range of (−∞,∞), the asymptotes of x=π/2+πk, and a zero of (π k,0) with a multiplicity of "odd" is...
y = tan(x)
500
Describe the transformations in y=-4|x+2|-3.
What is reflection over the x-axis, vertical stretch by a factor of 4, horizontal shift left 2 units, and vertical shift down 3 units?
500
Write a rule for the function shown.
What is
