MCFIMI-Unit 2 Quedrat Functions forms ant Transformations-Lesson 1Analysing Quadratic FunctionsA Recalinen ato -m b) produce atraight linesQuodretic enuations iBoth linear and ouadratic equations represent relations that are also functionsbac where a AceR and a0) produce porsbolesB. First and Second Differences-A ReviewEs. 1 Complete the table of values for this linear lunction.y-3X+1First Differencesy%3=What is true about the 1"differences?-1y3Dy%3DThus, for linear functions, the1" differences are1.y%3D2.%3DEx. 2: Complete the table of values for this quadratic function.y-3x-2x+1First DifferencesSecond Differences-2y%3D-1y=y=y%3DWhat is true about the 2" differences?Thus, for quadratic functions, the 2differences are So far, we know how to distinguish between linear and quadrotic functions by examining therdifferences What about just looking at their equations? The word degree is used to describe ihe yrofequation you have The degree of a polynomial with a single variable is the value of the higheit entin the equation Here are some examplesConstantFunction TypeSketchEquationDegreeDifferencesy=3x+1lineary=3x-2x+1quadraticy=-5x+4y=-3r'+1y= x-2x +1"bomay=x-5x-31mus!C. Terminology for Working with QuadraticsThe direction of opening for the quadratic equation can be determined by inspecting the a value:o ifa0 (+) the parabola opens upif a

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MCFIMI-Unit 2 Quedrat Functions forms ant Transformations-Lesson 1Analysing Quadratic FunctionsA Recalinen ato -m b) produce atraight linesQuodretic enuations iBoth linear and ouadratic equations represent relations that are also functionsbac where a AceR and a0) produce porsbolesB. First and Second Differences-A ReviewEs. 1 Complete the table of values for this linear lunction.y-3X+1First Differencesy%3=What is true about the 1&#34;differences?-1y3Dy%3DThus, for linear functions, the1&#34; differences are1.y%3D2.%3DEx. 2: Complete the table of values for this quadratic function.y-3x-2x+1First DifferencesSecond Differences-2y%3D-1y=y=y%3DWhat is true about the 2&#34; differences?Thus, for quadratic functions, the 2differences are So far, we know how to distinguish between linear and quadrotic functions by examining therdifferences What about just looking at their equations? The word degree is used to describe ihe yrofequation you have The degree of a polynomial with a single variable is the value of the higheit entin the equation Here are some examplesConstantFunction TypeSketchEquationDegreeDifferencesy=3x+1lineary=3x-2x+1quadraticy=-5x+4y=-3r'+1y= x-2x +1&#34;bomay=x-5x-31mus!C. Terminology for Working with QuadraticsThe direction of opening for the quadratic equation can be determined by inspecting the a value:o ifa>0 (+) the parabola opens upif a <0 (-) the parabola opens down.The vertex of a parabola is the maximum or minimum point that the parabola reaches. If the parabola opensdown, the vertex is a maximum; if it opens up, the vertex is a minimum.o If a graph or table of values has been created, the vertex can be found by inspection.If the equation is given in vertex form... y = a(x- hy + k, the vertex is always at the point (h, k).If the equation is given in standard form.. y = ax + bx + C, the x-value of the vertex is h =2aThe axis of symmetry is the vertical mirror-line that divides the parabola in half through its vertex. Theequation of the axis of symmetry is the x-value of the vertex (i.e. x = h)Ex. 3: Graph the table of values provided:TimeHeight(m)(s)calculate the 1“ and 2nd differenceswhat type of function is it?35state the direction of opening260state the vertex75is the vertex a maximum or a minimum?480give the equation of the axis of symmetry5756.60find the range of this function7.358.3.

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Es. 1 Complete the table of values for this linear lunction. y-3x+1 First Differences -2 y%=D What is true about the 1" differences? -1 %3D y%3D Thus, for linear functions, the 1" differences are %3D y%3D 1. 2.