FC: A YEAR IN REVIEW | SARAH BROWN MATH 171 5-2-11
1: Graphing Equations Parallel Lines: Equal Slopes Perpendicular Lines: negative recipricals Slope intercept form: y=mx=b Point Slope form:y1-y2=m(x1-x2) Standard Form: Ax=By=C Slope: m=y2-y1/x2-x1
2: Formulas Distance Formula: d2=(x2-x1)2+(y2-y1)2 Midpoint Formula: (x1+x2/2,y1+y2/2) Circle: (x-h)2+(y-k)2=r2
3: Vertical Line Test If it is possible for a vertical line to cross a graph more than once, then the graph is NOT a function. | Not a Function | Function
4: Increasing, Decreasing, and Constant Increasing: When the graph of a function rises from left to right Decreasing: When the graph drops from left to right Constant: When the graph stays the same from left to right
5: Relative Maximum and Minimum "Peaks and Valleys" Maximum: Highest point in some open interval or "peak" Minimum: Lowest point in some open interval or "Valley"
6: Reflection Points like these have the same x-values but opposite y-values across the x-axis Symmetric with respect to x-axis: (x,y)(x,-y) Symmetric with respect to y-axis: (x,y)(-x,y) Symmetric with respect to origin: (x,y)(-x,-y)
7: Algebraic Test of Symmetry X-Axis:replace y with -y and check to see if equations are equivalent Y-axis: replace x with -x and check to see if equations are equivalent Origin: replace x with -x and y with -y and check for equivalency Even Function: Symmetric to y axis: f(x)=F(-x) Odd Function: symmetric with reflection to origin: f(-x)=-f(x)
8: Completing the Square 1. check for descending order 2. Little A must be 1 3. Move c to right 4. B x 1/2, square it, add it to both sides 5. Factor the left side, combine like terms on the right 6. Take the square root of both sides, remember +- on right 7.Solve for x and find 2 answers
9: Absolute Value Write 2 math problems and remember to change the sign on the right side of second problem.
10: Parametric Equations Plane curves in which x and y are functions of a third variable, t. Parameter: variable t When we write the corresponding rectangular equation, we say that we eliminate the parameter.
11: Thanks for a Fabulous Semester Mrs. Pitt!