y=x^2 -4x -32. Use this function and identify the axis of symmetry and the vertex. Thank you.

 

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asked Jan 10 in Algebra 1 Answers by swizzy500 (120 points)

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2 Answers

y=x^2-4x+4-36 is another way of expressing this (by completing the square). This is the same as y=(x-2)^2-36. When y=0 x-2=±6 which identifies the x intercepts as x=2+6=8 and x=2-6=-4. The axis of symmetry lies midway between these two points, when x=2, which is the equation of the axis of symmetry. As you can see, it's equidistant (6 units) from the x intercepts. The vertex is on this line, and y=-36 when x=2, so the vertex is at (2,-36).

answered Jan 10 by Rod Top Rated User (429,320 points)
answered Jan 10 by Mathical Level 10 User (55,420 points)
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