Parabolas
It's the vertex of the parabola represented by this equation: y = (x-6)^2 + 10
What is (6, 10)?
It's often called the natural number or natural base.
What is e?
This function represents the ratio of the side opposite a given angle in a right triangle to the side adjacent to the given angle.
What is tangent (tan)?
There are this many radians in a circle.
What is 2*pi?
It's distance from a sine wave's midline to it's highest point.
What is amplitude?
It's easy to spot the vertex of a parabola when the parabola's equation is written in this form.
What is standard (vertex) form?
It's the formula for continuously compounded interest.
What is Pe^(rt)?
This function is the reciprocal of cosine.
What is secant (sec)?
It's the length of the radius of the unit circle.
What is 1?
We use this word to describe the repetitive pattern of y values for sine and cosine functions.
What is periodic?
You can use this method to convert the equation of a parabola from general form to standard form.
What is completing the square?
You get this type of "growth" when the exponent in your growth equation is negative.
What is decay?
You need to use these types of functions to solve trig equations.
What are inverse trig functions?
Sine equals 1 at this radian value.
What is pi/2?
In the equation y = Asin(B(x+c)) + D, you divide 2pi by B to get this value.
What is period?
The height of a projectile fired straight upwards as a function of time is represented by the equation below. What height was the projectile fired from?
y = -16t^2 + 12t +10
What is 10?
It's what we call the time it takes for half of a substance to decay.
What is half-life?
Tangent is equivalent to this quotient of trig functions.
What is sine/cosine (sin/cos)?
Sine and cosine are both negative in this quadrant.
What is Quadrant 3?
It's the reciprocal of period.
What is frequency?
The height of a projectile fired straight upwards as a function of time is represented by the equation below. What was the projectile's initial velocity?
y = -16t^2 + 12t +10
What is 12?
You invest 1,000 for 5 years with continuously compounded interest. If the expression below represent how much money you have after 5 years, then this is the interest rate.
1,000e^0.25
What is 5% (0.05)?
If you stand 60 feet from a tree and notice the angle of elevation from your feet to the top of the tree is 50 degrees, you will find that the tree is this tall (rounded to one decimal place).
What is 71.5 feet?
30 degrees is equal to this many radians.
What is pi/6?
Tangent is undefined for these radian values.
What are odd multiples of pi/2?