What does SOHCAHTOA stand for?
Sin = Opp/Hyp
Cos = Adj/Hyp
Tan = Opp/Adj
What kind of triangle can this be used on and what is the purpose of the theorem?
Right Triangles ONLY!!!! The purpose is to solve for a missing side given 2.
What is the purpose of the quadratic formula?
To factor standard equations to find their x-intercepts for a parabola.
What are the rules of shifting? (a, h, and k)
h - left and right
+h = left
-h = right
k - up and down
+k = up
-k = down
a - orientation
a1: compress
0<a<1: widen
-a = reflect across the x-axis
What is Ms. Hunter’s favorite color?
* Fav = Green
*Love = Purple & Blue
What is the difference between inverse and normal trig functions?
Normal Trig - solving for a missing side.
Inverse - solving for a missing angle.
What is the formula for the Pythagorean Theorem? What does C ALWAYS REPRESENT???
a^2 + b^2 = c^2
a = opp or adj
b = opp or adj
c = HYPOTENUSE!!!!!
What is the equation for the Quadratic Formula?
x=-b+-sqrt(b^2 - 4ac)/2a
What is wrong with this picture?
*The Parent graph does not fit the graph shown.
*The shifts stated by student are incorrect
Should be:
Cubic
*Up 3 Units*
*Down 2 Units*
How many cats does Ms. Hunter have? (Bonus points for correct names)
2, named Binx and Zero.
What trig identity will we use to solve for x?
What is the value of x?
*Sin because we are given x (opposite) and 4000m (hypotenuse).
*Solution:
sin(22)=x/4000
x=4000*sin(22)
x = 1498.43m
Use the Pythagorean Theorem to solve for the missing hypotenuse!
*Solution:
40^2 + 9^2 = c^2
1600+81=c^2
1681=c^2 (take square root)
c = 41
Use the quadratic formula to factor: x^2+2x-15=0
x = -5, 3
Identify the parent graph and shifts
y=(x+3)2-2
*Parent Graph = Quadratic*
Shifts:
~h=3, left 3 units
~k=-2, down 2 units
What is Ms. Hunter doing over break?
Sleeping, reading, and gaming.
What trig identity will we use to solve for x?
What is the value of x?
*Cos because we are given 3 (adjacent) and x (hypotenuse).
*Solution:
cos(17)=3/x (swap cos & x)
x = 3/cos(17)
x = 3.13 or 3.14
Use the Pythagorean Theorem to solve for the missing side (leg)!
*Solution:
24^2 + a^2 = 25^2
576+a^2=625 (subtract 576 from both sides)
a^2 = 49 (sq rt)
a = 7
Use the quadratic formula to factor: 4x^2+40x-44=0
x = -11, 1
Id the parent graph and shifts
y=3|x+4|-6
*Parent Graph = Absolute*
Shifts:
~h=4, left 4 units
~k=-6, down 6 units
~a=3, graph compresses in width
What is Ms. Hunter’s favorite basketball team?
The Denver Nuggets
What trig identity will we use to solve for h?
What is the value of h?
*Tan because we are given h (opposite) and 75ft (adjacent).
*Solution:
tan(40)=h/75
h=75*tan(40)
h=62.9ft
Was Pythagoras the real creator of the Pythagorean Theorem?
NO. He stole it from those around him. FUN FACT: He also had a cult called the Pythagoreans…
Use the quadratic formula to factor: x^2-6x+25=0
x = 3+4i, 3-4i
Id the parent graph and shifts
y=(-1/2)sqrt(x-1)+4
*Parent Graph = Square Root*
Shifts:
~h=-1, right 1 unit
~k=4, up 4 units
~a=-½, reflect about the x-axis & widen width of graph
What foods is Ms. Hunter allergic to?
Oranges and Broccoli