"Parabolas Intro 2020"
 2-24-42-24-46-6y =y = 1y = 3Equations such as (y = some number) have horizontal lines for graphs.Fill in the missing number for the bottom line. 2-24-42-24-46-6Equations such as y = mx + b( y = a number times x + a number)    also have lines for graphs.These lines have a slope of   ½y = ½x-1y = ½x-3Click OK 2-24-42-24-46-6Quadratic equations (equations with 2 as the highestpower) are curved.  The curve is called a Parabola.The equation y = x2 is graphed above.Click OK Linear Equation  (Line Graph)?◡Quadratic Equation  (Parabola graph)? 2-24-42-24-46-6Equationof thegraphy =x2   Axis     of symmetryVertexOther pointson theparabolaClick OK 2-24-42-24-46-6Equationof thegraph?y =x2   Axis     of symmetry?Vertex?Other pointson theparabola? 2-24-42-24-46-6A     B          D     ECWhich arrow(A, B, C, D, or E)points at theaxis of symmetry? 2-24-42-24-46-6    Axis of symmetryx = -2(           ,           )What are the (x,y) coordinatesof the vertex?The VERTEX(turning point)of the graph is alwaysON the axis ofsymmetry. 2-24-42-24-46-6    Axis     ofsymmetry?Vertex?Step 1: Find theAxis of symmetryStep 2: Find vertex onthe axis of symmetry( -2, -1 ) 2-24-42-24-46-6    Axis of symmetryx = -2■▲VertexStep 3: Plug x valuesinto the equationof the parabola,    y = x2 + 4x + 3to plot other pointson the parabola.( -2, -1 )Click OK 2-24-42-24-46-6    Axis of symmetryx = -2▲?■?■▲VertexStep 4: Reflect (fold)the other points overthe axis of symmetry.Drag the reflectedpoints to the correctlocation( -2, -1 ) 2-24-42-24-46-6    Axis of symmetryx = -2?▲■■▲Vertex(The Axis of symmetry     equation is the vertex' x-coordinate)( -2, -1 )?You haveplotted 5 pointson the parabola Step 2Step 1Step 3Step 4◡◡Use the axis of symmetry to find the VERTEX?Find the AXIS OF SYMMETRY (SUCH AS X = 3)?Plot 2 other points by plugging new x values inthe original equation (such as y = x2 + 8x - 20) ?Reflect the 2 points over the axis of symmetryfor a total of 5 points (including the vertex)?◡Graphing Parabolas◡◡◡◡◡◡◡◡ The      End◡●◒
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