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How Do You Find the Axis of Symmetry for a Quadratic Function?
Find the axis of symmetry of y = x2 + 12x + 32.
Summary
- Parabolas can be expressed as equations in the form y=ax2+bx+c, where a, b, and c are just numbers
- negative 12 divided by positive 2 gives us negative 6

Notes
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- Parabolas can be expressed as y=ax2+bx+c, where a, b, and c are just individual numbers
- Can you tell what the values of a, b, and c have to be in order to match up with the parabola in our problem?
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- Parabolas can be expressed as y=ax2+bx+c, where a, b, and c are just individual numbers
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- This is the formula for the axis of symmetry of a parabola
- Remember that -b means we have to take the opposite of b in the axis of symmetry equation!
- Since b is 12 in the case, -b is just -12
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- x= -6 is a vertical line, because vertical lines have points with constant x-coordinates