Algebra 1 · Chapter 9 · Lesson 9.3 · Printable PDF

The Vertex and the Axis of Symmetry Worksheet with Answer Key

7 problems on the vertex and axis of symmetry: finding the vertex from standard and factored forms, fixing Priya's mistake, finding b for a given least value, a family of parabolas, comparing axes, and a beaker's cooling. 2 pages, with a worked answer key.

7 problems2 pagesanswer key
Printable The vertex and the axis of symmetry worksheet with answer key - Algebra 1 (Page 1 PDF preview)
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What's on the worksheet

  1. Find the vertex of each parabola and say if it is highest or lowest.
    y = x^2 - 2x - 5y = -x^2 - 10x + 3y = 3x^2 + 18x + 20y = 6x - x^2y = -2x^2 + 2x + 1
  2. Find Priya's mistake with the axis of symmetry and correct it.
  3. Find the vertex of each parabola in factored form without multiplying out.
  4. Find every value of b that gives a least value of 0, with each vertex.
  5. Find the vertex in terms of m for a family of parabolas.
  6. Test Ryan's claim about two parabolas having the same axis.
  7. Hannah's beaker: use the temperature model to find the highest temperature and when.

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