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Quadratic Graphs (Cambridge (CIE) IGCSE Maths)

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  • FrontQuadratic Graphs

    Will the vertex of the graph y equals negative x squared plus x plus 5 be a maximum or a minimum point?

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  • Will the vertex of the graph y equals negative x squared plus x plus 5 be a maximum or a minimum point?

    The vertex of the graph y equals negative x squared plus x plus 5 will be a maximum point.

    The vertex of a quadratic graph will be a maximum point if the coefficient of x squared is negative. The graph is n-shaped.

  • Where does the graph of y equals 3 open parentheses x minus 1 close parentheses open parentheses x plus 2 close parentheses cross the x-axis?

    The graph of y equals 3 open parentheses x minus 1 close parentheses open parentheses x plus 2 close parentheses crosses the x-axis at open parentheses 1 comma space 0 close parentheses and open parentheses negative 2 comma space 0 close parentheses.

    To find these roots, make each factor equal to zero to find the x-coordinate:

    • x minus 1 equals 0 gives x equals 1

    • x plus 2 equals 0 gives x equals negative 2

  • How can you find the coordinates of the turning point of a quadratic graph?

    To find the coordinates of the turning point of a quadratic graph, you can either:

    • complete the square

    • differentiate and set the derivative equal to zero to find the x-coordinate

  • True or False?

    The turning point of y equals 4 minus open parentheses x minus 1 close parentheses squared is at the point open parentheses 4 comma space 1 close parentheses.

    False.

    The turning point of y equals 4 minus open parentheses x minus 1 close parentheses squared is not at the point open parentheses 4 comma space 1 close parentheses.

    The x-coordinate is the value that makes the squared bracket equal to zero.

    The coordinates should be open parentheses 1 comma space 4 close parentheses.

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