F(x) = a(x - p) 2 + q 4.4B Chapter 4 Quadratic Functions.

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Presentation transcript:

f(x) = a(x - p) 2 + q 4.4B Chapter 4 Quadratic Functions

Write the equation of the parabola, in standard form, that has a vertex at (0, 4) and passes through the point (-1, 6). Writing the Equation of a Parabola

Write the equation of the parabola with vertex (-1, 3), and x-intercepts of 2 and 4. Since the vertex is (-1, 3), then Substitute The parabola passes through the points (2, 0) and (4, 0). Choose one point and substitute for x and y to solve for a. Writing the Equation of a Parabola [cont’d]

Find the equation of the parabola that passes through (1, 15) and (5, -1) with its axis of symmetry at x = 4. Given that the axis of symmetry is, then p =. Therefore, Use points to substitute into the standard form of the equation. Writing the Equation of a Parabola [cont’d]

Pages 287 – 290: 9-12, MC 1