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Graphing Quadratic Functions (Vertex Form)

  1. 1
    State the following and graph the function, given: $$ y=(x-3)^2-4$$
    Direction of opening.
    The coordinates of the vertex.
    The equation of the axis of symmetry.
    The domain and range.
    The maximum or minimum value.
    How the parabola is stretched or compressed if applicable.

  2. 2
    State the following and graph the function, given: $$ y=-(x+4)^2+5$$
    Direction of opening.
    The coordinates of the vertex.
    The equation of the axis of symmetry.
    The domain and range.
    The maximum or minimum value.
    How the parabola is stretched or compressed if applicable.

  3. 3
    State the following and graph the function, given: $$ y=-(x)^2+6$$
    Direction of opening.
    The coordinates of the vertex.
    The equation of the axis of symmetry.
    The domain and range.
    The maximum or minimum value.
    How the parabola is stretched or compressed if applicable.

  4. 4
    State the following and graph the function, given: $$ y=2(x+1)^2-8$$
    Direction of opening.
    The coordinates of the vertex.
    The equation of the axis of symmetry.
    The domain and range.
    The maximum or minimum value.
    How the parabola is stretched or compressed if applicable.

  5. 5
    State the following and graph the function, given: $$ y=\frac{1}{2}(x-1)^2-9$$
    Direction of opening.
    The coordinates of the vertex.
    The equation of the axis of symmetry.
    The domain and range.
    The maximum or minimum value.
    How the parabola is stretched or compressed if applicable.

  6. 6
    State the following and graph the function, given: $$ y=3(x+1)^2-12$$
    Direction of opening.
    The coordinates of the vertex.
    The equation of the axis of symmetry.
    The domain and range.
    The maximum or minimum value.
    How the parabola is stretched or compressed if applicable.

  7. 7
    State the following and graph the function, given: $$ y=-\frac{1}{3}(x)^2+12$$
    Direction of opening.
    The coordinates of the vertex.
    The equation of the axis of symmetry.
    The domain and range.
    The maximum or minimum value.
    How the parabola is stretched or compressed if applicable.

  8. 8
    State the following and graph the function, given: $$ y=-\frac{1}{2}(x-3)^2+6$$
    Direction of opening.
    The coordinates of the vertex.
    The equation of the axis of symmetry.
    The domain and range.
    The maximum or minimum value.
    How the parabola is stretched or compressed if applicable.

  9. 9
    State the following and graph the function, given: $$ y-2=(5+x)^2$$
    Direction of opening.
    The coordinates of the vertex.
    The equation of the axis of symmetry.
    The domain and range.
    The maximum or minimum value.
    How the parabola is stretched or compressed if applicable.

  10. 10
    State the following and graph the function, given: $$ y+3=2(4+x)^2$$
    Direction of opening.
    The coordinates of the vertex.
    The equation of the axis of symmetry.
    The domain and range.
    The maximum or minimum value.
    How the parabola is stretched or compressed if applicable.

$$e=mc^2$$