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# Graphing Quadratic Functions (Vertex Form)

- 1State 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.

- 2State 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.

- 3State 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.

- 4State 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.

- 5State 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.

- 6State 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.

- 7State 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.

- 8State 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.

- 9State 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.

- 10State 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.

$$e=mc^2$$