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Three forms of quadratic function

Three forms of quadratic function. Standard form. F(x)= Ax^2+Bx+C A tells you whether the graph opens up or down, and whether it is wide or narrow The vertex is (-b/2a, f(x) ) The y-intercept is C. Vertex form. F(x)= a(x-h)^2+k A is the same as in standard form The vertex is (h , k).

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Three forms of quadratic function

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  1. Three forms of quadratic function

  2. Standard form F(x)= Ax^2+Bx+C A tells you whether the graph opens up or down, and whether it is wide or narrow The vertex is (-b/2a, f(x) ) The y-intercept is C

  3. Vertex form F(x)= a(x-h)^2+k A is the same as in standard form The vertex is (h , k)

  4. Vertex cont. To graph Determine the vertex Plot it and draw the axis of symmetry, the equation of the AOS is x=h Find the coordinates of two other points Connect them and label

  5. Intercept form F(x)= a(x-p)(x-q) First find the x and y intercepts x=p x=q y=apq 2. Plot the x-intercepts 3. Find the coordinates of the vertex (p+q/2, f(x))

  6. Intercept cont. 4. plot the vertex and A.O.S x= p+q/2 5. Connect the points and label.

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