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Objectives

Material Taken From: Mathematics for the international student Mathematical Studies SL Mal Coad , Glen Whiffen , John Owen, Robert Haese , Sandra Haese and Mark Bruce Haese and Haese Publications, 2004. Section 9H - Axes Intercepts. Objectives.

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Objectives

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  1. Material Taken From:Mathematicsfor the international student Mathematical Studies SLMal Coad, Glen Whiffen, John Owen, Robert Haese, Sandra Haese and Mark BruceHaese and Haese Publications, 2004

  2. Section 9H - Axes Intercepts Objectives Identify the x- and y-intercepts of a quadratic function. Graph a quadratic function by finding the intercepts.

  3. Axes Intercepts

  4. Axes Intercepts x-intercepts (usually two) y-intercepts (always only one)

  5. Find the y-intercept y= x2 – 5x + 2 y= 3x2 – x + 1

  6. Vocab Find the x-intercepts Solve Find the zeros

  7. Find the x-intercepts y= 2(x – 3)(x + 2) y= -(x – 4)2

  8. Find the zeros y= x2 – 6x + 9 y= -x2 – x + 6

  9. Section 9I - Graphs from Axes Intercepts What we know: To find the x-intercepts: To find the y-intercept: The value of ‘a’ in y = a(x-h)2 + ktells you: In y = a(x-h)2 + kthe values of ‘h’ and ‘k’ tell you:

  10. Be sure to label the scale on the axes! 1)Sketch the graph of y = x2 – 2x – 3consideringthe value of ‘a’the y-interceptthe x-intercepts

  11. Be sure to label the scale on the axes! 2) Sketch the graph off(x) = -2(x +1)(x -2) considering the value of ‘a’the y-interceptthe x-intercepts

  12. Be sure to label the scale on the axes! 3) Sketch the graph ofy= 2(x – 3)2 considering the value of ‘a’the y-interceptthe x-intercepts

  13. Be sure to label the scale on the axes! 4) Sketch the graph ofy= 2(x - 2)(x + 4)using axis intercepts.Find the equation of the axis of symmetryand the coordinates of the vertex

  14. Be sure to label the scale on the axes! 5) Sketch the parabola which has x-intercepts -3 and 1 and y-intercept -2. Find the equation of the axis of symmetry.

  15. Homework • 9H.1, pg 299 #1ag • 9H.2, pg 300 #1de • 9H.3, pg 301 #1begk • 9I, pg301 • #2adh • #3, 4fh, 5ad, 6ab

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