​1. The Axis, or Line, of Symmetry is a vertical line that divides the parabola into two symmetrical parts.

2. There is a corresponding y-value on either side of the axis of symmetry​

3. Since the AOS is a vertical line, it has the form of a vertical line: x = #

4. To find the AOS algebraically, set x = -b/2a.​

5. y = 2x² - 12x + 15​

a = 2, b = -12, c = 15

x = -(b)/2a x = -(-12)/2(2)​

​x = 12/4 = 3

​Axis of Symmetry (AOS)

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​NOTE: the Axis of symmetry (AOS) is the x-part of the vertex.

For an AOS of x = -4, you would expect to see a Vertex with (-4, y)​

​1. The vertex is the coordinate point of the maximum, or minimum, point of the parabola.

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2. To find the verte​x algebraically, find the axis of symmetry by the formula:

x = -b/2a. Use that value as the x-value of the vertex. For the y-value, substitute the AOS x-value into the function equation.

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​3. y = 2x² - 8x + 7

​a = 2, b = -8, c = 7 AOS = -(-8)/2(2) = 2

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y = ​2x² - 8x + 7 = 2(2)² - 8(2) + 7 = -8+7 = -1

Vertex = (2, -1)​

​Vertex

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​Congrats you are done!