Algebra 2 Cheat Sheet Functions and Formulas, Cheat Sheet of Algebra

Download Algebra 2 Cheat Sheet Functions and Formulas and more Cheat Sheet Algebra in PDF only on Docsity! Algebra 2 Cheat Sheets! (shhhhhh….) Graphing Absolute Value equations (Cheat Sheet) Steps: 1: set inside = to zero. 2: solve for x. 3: create a table with the found x value in the middle. 4: Plug x back into the equation to find y. (This is the vertex coordinate.) 5: choose 2 more x values, one on either side of the x you found. 6: Find y values. 7: Graph 3 points. Example: Graph y = |x + 5| (Absolute Value) 1: x + 5 = 0 3: 4: 2: x = -5 5: 6: 7: Plot and connect. How to graph parabolas, radicals and absolute value on the calculator Function How to graph on the calculator Graph Parabola Y = x2 + x - 2 Y = XTθN ^ 2 + XTθN – 2 GRAPH Radical Y = - 2 Y = 2nd x2 XTθN + 3 ) – 2 GRAPH Absolute Value Y = |x + 2| - 4 Y = MATH  NUM 1:abs( ENTER XTθN + 2 ) – 4 GRAPH Where Domain and Range are Infinite y = Ax2 + Bx + C Steps: Example: Step 1: Identify A, B and C: A = 8 B = 10 C = 3 Step 2: Multiply AC. This is your : (8)(3) = Step 3: Factor your Magic Number (ignoring any – signs for now): 1  24 Step 4a: Follow the flowchart: 2  12 3  8 4  6 Step 4b: Add + and – signs to each pair in your Magic Number factor list, according to the chart. Step 5: Question: “Which factor pair adds to get your B?” +4  +6 Step 6: Rewrite your trinomial, replacing B with the numbers you boxed: Step 7: Add ( ). (8x2 + 4x) + (6x + 3) Step 8: Factor each ( ): 4x(2x + 1) + 3(2x + 1) hint: Your two ( ) should always be the same. If one is + and one is -, it’s because one of your factors from step 6 was -. Usually your first ( ) will be the correct one. To check, distribute backwards to see if you get back to step 6. If not, switch the sign in the 2nd ( ). Step 9: Rewrite to finish. One ( ) is the stuff on the inside. One ( ) is the stuff on the outside. (2x + 1)(4x + 3) Logarithm Facts Remember, [Ref on the calculator is “Log base 10” (Logic) Fact | Example bx =Y > LogeY = x 27 =8 > Log28 = 3 LogY = LogioY Log1000 = Logi191000 LogxY = LogY + LogX Log2l6 = Logl16 + Log2 Log(XY) = Log X + Log Y| Log3(5e3) = Log35 + Log33 Log(X/Y) = Log X - Log Y| Log;(15/3) = Log315 — Log;3 LogpY* = xLog,Y Log2(43) = 3eLog24 In > Loge In3 = Loge3 Quadratic Word Problems y = -16t2 + vt + h v = initial upward velocity h = initial height Keywords Meaning Graphing Calculator buttons “How long is it in the air?” “How long until it hits the ground?” Find the zeros (roots) by: •Factoring, •graphing or •Quadratic Formula -Zero Function- 2nd, TRACE, 2:Zero “How long until it reaches maximum height?” Find x at the vertex. (axis of symmetry) X = -Max Function- 2nd, TRACE, 4:Maximum “What is its maximum height?” Find y at the vertex. -Max Function- 2nd, TRACE, 4:Maximum “How high is it after x seconds?” Find the y coordinate (height) at the given x coordinate (time). (Plug the given x back into the equation to find y) -Value Function- 2nd, TRACE, 1:Value, type in given x value Common Graphing Calculator Situations Problem Solution I get “ERR:INVALID DIM 1:Quit” when I try to graph something. Y =  Plot1 ENTER (should be Plot1, not black) SEE THE GRAPH’S ORIGIN I can’t see the origin. The origin is off center. The graph is too small. The graph is too zoomed out. The graph is too zoomed in. Where am I? ZOOM 6:ZStandard SEE TO THE RIGHT OR LEFT I need to see a part of the graph that is out of the window. WINDOW Change: Xmin= Xmax= Ymin= Ymax= to fit what you want to see. Y-INTERCEPT? TABLE 2nd GRAPH Look for where x = 0 FIND THE VERTEX (MINIMUM) What is the lowest point on the graph? Adjust window to see min point. CALC 2nd TRACE 3:minimum Left Bound? Arrow left of the min point ENTER Right Bound? Arrow right of the min point ENTER Guess? ENTER