Cheatography

# PSAT MATH Ch11 Adv Principles Cheat Sheet (DRAFT) by taotao

This is a draft cheat sheet. It is a work in progress and is not finished yet.

### Function

 function f(x) solve the equation x-->y PITA f(g(x)) problem =>write function Roots of a Function (x) x intercept (graph cross x-axis) x => f(x)=0 factor of a question

 expanding FOIL: First Outer Inner Last factoring factor consta­nt/­mul­tiply, calc coeffi­cen­t/add PITA solving f(x)=z­ero­=>f­act­ori­ng=­>zero factor PITA ( -b +/ sqrt(b2 -4ac)) / 2a graph the equation other quadratics problems word question charts question (build equation, plug in point) forms of quadratic std form y = ax2 + bx + c vertex (h,k), min/max y = a(x − h)2 + k a parabola opening up for positive a std<=>­vertex y = x2 – 4x – 12 1) zero, move 0 = x2 – 4x – 12 => 12= x2 – 4x 2)add half sq 12+4= x2 – 4x +4 3)sq form 16= (x-2)2 4)vextex y= (x-2)2 -16

### Anaysis in Science: question in scientific context

 world problem: identify the variable chart/­gra­ph/­table related scientific situation ==> conclu­sion, POE strategy

### Meaning in context

 Plugin number to see POE math concept: intercept, slope, and coeffi­cients

### SUMMARY

 1 Given a function, you put an x value in and get an f(x) or y value out. 2 Look for ways to use Plugging In and PITA on function questions. 3 For questions about the graphs of functions, remember that f(x) = y. 4 If the graph contains a labeled point or the question gives you a point, plug it into the equations in the answers and eliminate any that aren’t true. 5 To find a point of inters­ection, set the equations equal, plug a given point into both equations to see if it works, or graph the equations on your calculator when it is allowed.