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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

  1. Parabolas can be expressed as equations in the form y=ax2+bx+c, where a, b, and c are just numbers
  2. negative 12 divided by positive 2 gives us negative 6

Notes

    1. Parabolas can be expressed as y=ax2+bx+c, where a, b, and c are just individual numbers
    2. 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?
    1. Parabolas can be expressed as y=ax2+bx+c, where a, b, and c are just individual numbers
    1. This is the formula for the axis of symmetry of a parabola
    2. Remember that -b means we have to take the opposite of b in the axis of symmetry equation!
    3. Since b is 12 in the case, -b is just -12
    1. x= -6 is a vertical line, because vertical lines have points with constant x-coordinates