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Parabola - Finding the Equation

Vertical Axis of Symmetry. Horizontal Axis of Symmetry. Parabola - Finding the Equation. Recall that the equations for a parabola are given by . Parabola - Finding the Equation. Summary of meanings of the constants:. The vertex is at V(h, k) . and is the midpoint of the

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Parabola - Finding the Equation

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  1. Vertical Axis of Symmetry Horizontal Axis of Symmetry Parabola - Finding the Equation • Recall that the equations for a parabola are given by ...

  2. Parabola - Finding the Equation • Summary of meanings of the constants: The vertex is at V(h, k). and is the midpoint of the line segment joining the focus and the vertex. When the squared term is in x, the axis of symmetryis vertical, and the parabola is facing up or down. If p is positive, then up. If p is negative, then down. When the squared term is in y, the axis of symmetry is horizontal, and the parabola is facing left or right. If p is positive, then right. If p is negative, then left. Slide 2

  3. Parabola - Finding the Equation • Example 1: • Find the equation of the • parabola with focus • F(-3, -2) and directrix y = 6. • Plot the focus point and draw the line for the directrix ... • The focus is 8 units from the directrix, half of which is 4 units. Thus, the vertex is at V(-3, 2). Slide 3

  4. Parabola - Finding the Equation • Since a parabola faces towards the focus and away from the directrix, this parabola is facing down, and the equation is ... • The value of p is - 4 ... • Substituting values yields ... Slide 4

  5. Parabola - Finding the Equation • Example 2: • Find the standard form of the parabola given by ... • Solution: Slide 5

  6. Parabola - Finding the Equation • The standard form of the parabola is ... Slide 6

  7. Parabola - Finding the Equation END OF PRESENTATION Click to rerun the slideshow.

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