3 Change quadratic functions to standard form Rewrite (x+1)²Multiply using FOILDon’t forget your +2Combine like termsStandard Form
4 Compare Vertex vs. Standard Standard form:Vertex form:Lets look at our last problemWe converted toa = 1b = 2c = 3a = 1h = -1k = 2Compare valuesYou will learn that you will need to identify the values for a, b, and c. Lets get into the habit of identifying them NOW!!
5 Lets try this one! Y = -x² -6x -8 Write the quadratic function in standard form. Label the values for a, b, and c.Y=-(x+3)(x+3) + 1Steps:Write (x+3) twiceMultiply using FoilDistribute the negativeAdd the 1 and combine like terms.Y = -(x² +6x +9) +1Y= -x² -6x -9 +1Y = -x² -6x -8
6 Your TurnWrite the quadratic function in standard form. Label the values for a, b, and c.Steps:Write ( ) twiceMulitply using FoilDistribute number out frontCombine like terms.
7 Standard to Vertex a x y Step 1: Find x value Step 2: Plug x back into equation to get y valueStep 3: change the value of your xVertex: (-2, -4)Step 4: “a” from standard form is the same “a” in vertex formaxy
8 Intercept Form Change to standard form Y = -2(x-2)(x+3) Steps 1. FOIL out the ( )Y = -2 (x² +3x -2x -6)2. Collect like termsY = -2(x² +1x – 6)3. DistributeY = -2x² -2x +12Make sure equation is in y = ax² +bx + c
9 CLASSWORK/HOMEWORKpage 66 (25-27)Problems on Agenda
10 Practice Change into Standard form Y = 2(x-4)² + 5 Form? Vertex (4, 5) FOIL y = 2(x-4)(x-4) y = 2(x² -4x -4x + 16) Collect like terms y = 2(x² -8x + 16) Distribute y = 2x² - 16x + 32
11 Practice Change into standard form Y = 2(x-3)(x+4) Form? Intercept x = 3 x=-4 FOIL y = 2(x² +4x -3x -12) Collect like terms y= 2(x² + 1x -12) Distribute y = 2x² + 2x -24
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