Quadratic/Functions
The point on a parabola that could help you determine the range.
What is the vertex?
The way you can convert a circle into (x - a)^2 + (y - b)^2 = r^2.
What is completing the square [ add (b/2)^2]?
The two identities that we regularly use in proving trigonometric identities.
What is tanΘ = sinΘ/cosΘ and (cosΘ)^2 + (sinΘ)^2 = 1
Gives you the gradient of the tangent line and the curve given a specific x-value.
What is the first derivative?
The way that you find the coordinates of a stationary point.
What is you set the first derivative equal to zero and solve? Then plug into the original function to find y.
The way you can convert a quadratic from standard form to vertex form.
What is completing the square?
What is equating coefficients?
The geometrical shape we general look for in circular measure problems in order to use trigonometry.
What is a right triangle?
The three steps for solving sinΘ = k
sin^-1(k) = Θ
180° - Θ
Θ ± 360°
The method that you use to differentiate composite functions.
The Chain Rule (inside-outside rule)
The reverse process of differentiation. Also, it finds the area under a curve.
What is integration?
Determines the number of real solutions to a quadratic or points of intersection of a quadratic system of equations.
What is the discriminant?
The general framework for solving arithmetic and geometric sequences and series problems.
What is
1. Givens
2. Formulas
3. Substitute
Three steps for solving cosΘ = k
What is
cos^-1(k) = Θ
-Θ
Θ ± 360°?
In order to find the equation of the tangent line, you need a ____ and a _____ and the gradient is given by the _____.
What is point, slope, first derivative?
The integral of one function, minus the integral of another function over x = a to x = b finds the ____.
What is area between two curves.
What is one-to-one (pass HLT)?
The place you can find the formulas for circular measure, trigonometry, the quadratic formula, differentiation, and integration.
What is the formula sheet?
Two steps for solving tanΘ = k
tan^-1(k) = Θ
Θ ± 180°
The function that determines whether a stationary point is a maximum or miniumum?
What is the second derivative?
What is the integral of πy2dx from x = a to x = b.
The graphical relationship between a function and its inverse.
What is a reflection over the line y = x?
The way that you find the equation of the curve from the first derivative.
What is integrate and plug your point in to solve for c?
The ___ is a line perpendicular to the tangent line at a specific point on the curve.
What is the normal to the curve?
A function is increasing when the ____ is ____.
What is first derivative, positive?
The form in which you quadratic must be to find the inverse.
What is vertex form or completed square form?