Linear Systems & Analytic Geometry
What is a linear system?
The vertical stretch or compression is determined by this variable.
What is "a"?
The fastest way to find the vertex.
What is completing the square?
Two triangles that have the same corresponding angles, but their sides are proportional.
What are similar triangles?
The angle between 2 known sides in a non-right triangle.
What is the contained angle?
The point where 2 lines intersect.
What is the point of intersection?
To find this part of the parabola you can add the zeros and divide by 2.
What is the axis of symmetry?
The role of the "h" is ...
What is a "left/right translation" and what is the "x-value of the vertex"?
This is used to find an angle when all 3 sides are known.
What is the cosine law?
The turning point on a parabola.
What is the vertex?
The method that involves creating a "0" term.
What is elimination?
This type of factoring involves two numbers that multiply to "c" and add to "a".
What is a simple trinomial?
The formula for the discriminant which used to determine the "number" of solutions for a quadratic relation.
What is b2 - 4ac?
There are 2 versions to this depending if you are finding angles or sides.
What is the sine law?
I would do this first to factor 3x2 - 60x + 90.
What is common factoring?
The method that involves isolating one variable completely by itself.
What is substitution
You have to do this to convert factored form to standard form.
What is FOIL?
To find the zeros, you use these 2 methods.
What is "factoring" and what is "the quadratic formula"?
Use this when you are determining missing sides or angles in a right triangle.
What is SOHCAHTOA?
A linear system can intersect in these 3 ways.
What is 0, 1 or infinite number of solutions?
There is a third way of determining the POI for a linear system.
What is "graphing"?
To simplify these exponents, you change it to a fraction with a positive exponent.
What are negative exponents?
A quadratic is compressed by a factor of 2, reflected, translated 4 units left and 5 units up.
What is "y = -1/2(x + 4)2 + 5?
When trying to find angles using trigonometry, be sure to use this version of sin, cos or tan?
What is sin-1, cos-1 or tan-1?
The 3 forms of a quadratic relation.
What is standard, factored and vertex form?