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Parent Functions
Transformations
Write the equation
Applications
Applications
Exact Values
100

The parent function of cos(x) has a y-intercept of ...

What is (0,1)?

100

The period of  y=5tan(2x)-3

What is π/2?

100

Write the equation: cosine with a period of 2pi, a midline of y=-2, and an amplitude of 4.

What is f(x)=4cos(x)-2?

100


From a point on the ground 47 feet from the foot of a tree, the angle of elevation of the top of the tree is 35º. Find the height of the tree to the nearest foot.

What is 33 feet?

100

A flag pole 18 feet tall casts a shadow 12 feet long at a specific time of day. Find, to the nearest degree, the angle of elevation of the sun at this time of day.

What is 56 degrees?

100
arcsin(1)

What is pi/2?

200
What is the period of the parent sine and cosine functions?
What is 2pi?
200

What is the midline of y= 3 cos(x-pi)+2

What is y=2?

200

Write the equation: cosecant with an vertical stretch of 3, a reflection, a midline of y=3, and a period of 4pi.

What is f(x)=-3csc4(x)+3?

200


From point P on the ground, the angle of elevation of an airplane is 23º. The altitude of the plane is 1200 meters. What is the distance from point P to the airplane, to the nearest tenth of a meter?

What is 3071.2 meters?

200

A shopper is standing on level ground 800 feet from the base of a 250 foot tall department store. The shopper looks up and sees a flag on the store's roof. To the nearest degree what is the angle of elevation to the top of the building from the point on the ground where the shopper is standing?

What is 17 degrees?

200


cot(-pi/3)

-sqrt3/3

300

What is the value of cos(pi/4)

What is sqrt(2)/2?

300
What is the vertical stretch of the function: y=3tan(x-pi)+5
What is 3?
300
Write the equation for tangent: Vertical Stretch: 5 Period: pi/4 Phase shift: -5pi Vertical Shift: +6
What is y=5tan(4(x+5pi))+6?
300


A student lets out 100 feet of string on a kite from a hand height of 3 feet. The angle between horizontal hand height and the kite is 25º. Find the height of the kite above the ground, to the nearest foot.

What is 45 feet?

300

An engineer builds a 75-ft vertical cell phone tower. Find the angle of elevation to the top of tower from a point on the ground 95 feet away.

What is 38.3 degrees?

300

sin-1(sqrt2/2)

What is 45 degrees or pi/4?

400

The interval of a trig graph is found by ...

What is period divided by 4?

400

Identify the phase shift in the function: y=-2tan(3(x-3pi/2)) +1.

What is right 3pi/2?

400
Create the sine equation: amplitude: 4 Period: 4pi Phase shift: right 3pi Vertical Displacement: down 5.
What is y=4sin(1/2(x-3pi))-5?
400

Simon bought a new shop and wants to order a new sign for the roof of the building. From point P, he finds the angle of elevation of the roof, from ground level, to be 31º and the angle of elevation of the top of the sign to be 42º. If point P is 24 feet from the building, how tall is the sign to the nearest tenth of a foot?

What is 7.2 feet?

400

After flying at an altitude of 500 meters, a helicopter starts to descend when its ground distance from the landing pad is 11 kilometers. What is the angle of depression for this part of the flight?

What is 2.6 degrees?

400

What is the exact value of sin(60)?

What is sqrt3/2