Verso Il Clil 2

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    Parabolas: Finding Information from

    the Equation

    Graph x2 = 4yand state the vertex, axis of symmetry.

    I can write the equation as:

    y = (1/4)x2.

    The vertex is obviously at the origin, The vertex is at (-b/2a; (4ac-b2)/4a).

    The axis of symmetry is the vertical line right through the vertex: x = 0.

    Graph x2-3x-2 = y and state the vertex, axis of symmetry.

    Vertex(3/2;-1/4) Axis nof symmetry x=3/2

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    Let y=f(x)=x2-6x+8, find the vertex and axis of symmetry. Does its graph open up ordown? Fin the maximum or minimum value of f(x) and state which it is. Sketch thegraph.

    Given that the vertex of the parabola is on the x-axis. What is the value of k?

    0 4

    8 16 24

    A toy rocket is fired vertically from the ground. Its height in meters is given by:

    S(t)=36t-4,9t2

    where t represents the time in second. What is the maximum height of the rocket?