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Presentation 2

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  • 1. Unit Review! Algebra II by: Brittany Massie
  • 2. <ul><li>Ways to solve: </li></ul><ul><li>Factoring </li></ul><ul><li>ex: x²+2x+1=0 </li></ul><ul><li>(x+1)(x+1)=0 </li></ul><ul><li>x=-1, x=-1 </li></ul><ul><li>Quadratic Formula </li></ul>
  • 3. <ul><li>A Parabola is the set of points in a plane equidistant from a fixed point and a fixed line. The fixed point is the focus and the fixed line is the directrix . </li></ul><ul><li>General Form: Ax²+Bx+Cy+D= 0 </li></ul><ul><li>Standard Form: (x-h) ² = 4p(y-k) </li></ul><ul><li>Vertex: (h,k) </li></ul><ul><li>Focus :(h,k+p) </li></ul><ul><li>Directrix: y=k-p </li></ul><ul><li>Axis of Symmetry: x=h </li></ul><ul><li>Length of latus rectum: abs(4p) </li></ul><ul><li>If p<0, the parabola opens down. If p>0, the parabola opens up. </li></ul>
  • 4. <ul><li>A circle is the set of points in a plane which are a fixed distance from a fixed point. The fixed distance is the radius . The fixed point is the center. </li></ul><ul><li>General Form: Ax²+Ay²+Bx+Cy+D= 0 </li></ul><ul><li>Standard Form: (x-h) ²+(y-k) ²=r² </li></ul><ul><li>Center (h,k) </li></ul><ul><li>radius = r </li></ul>
  • 5. <ul><li>An ellipse is the set of points in a plane such that the sum of the distance from the point to two fixed points in constant. The two fixed points are the foci . </li></ul><ul><li>General Form: Ax²+By²+Cx+Dy+E= 0 </li></ul><ul><li>Standard Form : ( ( x - h ) / a ) ² + ( ( y - k ) / b ) ² = 1 </li></ul><ul><li>Center: ( h , k ) </li></ul><ul><li>Foci (h+c, k),(h-c, k), where c²=a²-b² </li></ul>
  • 6. <ul><li>A hyperbola is the set of points in a plane such that the differences of the distances from the point to two fixed points is a constant. The two fixed points are the foci . </li></ul><ul><li>General Form: </li></ul><ul><li>Ax² - By² + Dx + Ey + F = 0 </li></ul><ul><li>Standard Form: </li></ul><ul><li>( ( x - h ) / a ) ² - ( ( y - k ) / b ) ² = 1 </li></ul><ul><li>Center: (h, k) </li></ul><ul><li>Vertices: (h+a, k), (h-a, k) </li></ul><ul><li>Foci: (h+c, k), (h-c, k), where c²=a²+b² </li></ul><ul><li>Asymptotes: y-k= +or- b/a(x-h) </li></ul><ul><li>Transverse axis: y=k </li></ul>
  • 7. <ul><li>Use y= to enter your functions into the calculator </li></ul><ul><li>Window - use to accurately display your graph </li></ul><ul><li>Graph - takes you to the picture of your graph </li></ul>
  • 8. <ul><li>The test will have 8-10 questions(with parts) </li></ul><ul><li>The graph shows the percentage of the amount of each type of question on the test. </li></ul><ul><li>Materials needed: </li></ul><ul><ul><li>Graphing Calculator </li></ul></ul><ul><ul><li>Pencil </li></ul></ul><ul><ul><li>Paper </li></ul></ul><ul><ul><li>Graph Paper </li></ul></ul><ul><ul><li>ruler </li></ul></ul>

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