How to find equation of a parabola
[DOC File]October 25, 1998
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Rewrite each equation in standard form. 4. 5. opens: opens: p = p = vertex vertex focus focus directrix directrix axis of symmetry axis of symmetry Write the equation of each parabola with the given information. 6. vertex (-1, 2), focus (-1, 0) 7. directrix y = 8, focus (0,0) 8.
[DOC File]Parabola Worksheet - GEOMETRY
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d. How does your observation relate to the geometric definition of a parabola? 2. Given the coordinates of the vertex and the focus, you can find the values of a, h, and k. Then you can use these values to write the equation of the parabola. Consider a parabola that has a vertex at (0, 6) and a focus at (0, 5). a.
[DOC File]Exploration Guide: Parabolas - Activity A
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Find the equation of the parabola with vertex that passes through the point. 5. Explain how the graph is different from the graph of . 6. Put the parabola in vertex form (using any method). 7. Solve the quadratic equation . 8. How many real roots does the parabola have. Explain.
How To Find Vertex, Focus and Directrix of a Parabola Equation?
If a parabola opens vertically, will its focus and vertex have the same x-coordinate or the same y-coordinate? What if the parabola opens horizontally? Given the coordinates of the vertex and the focus, you can find the values of a, h, and k. Then you can use these values to write the equation …
[DOC File]Lesson Title : Parabolic Equation of a Catapult
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Find the equation of the parabola. 2) The outer door of an airplane hangar is in the shape of a parabola. The door is 120 feet across and 90 feet high. Find an equation describing the door's shape. 3) An engineer designs a satellite dish with a parabolic cross-section. The dish is 15 ft. wide at the opening and the depth is 4 feet.
[DOC File]Parabola Worksheet - ALGEBRA II-SPRING 2017
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Parabola Worksheet. Sketch each of the following graphs stating the domain, range, x- and y-intercepts. Write the equation for each parabola in standard form and in general form. (all stretches are from either . Vertex at (4,2), opening left with a horizontal stretch by a factor of 3.
[DOC File]Exploration Guide: Parabolas
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10. Write the equation of parabola that has the vertex at origin and focus at (0,-2). Then graph the parabola. 11. Write the equation of parabola that has the vertex at (-3,4) and given a point on the parabola as (2,16). Then graph the parabola.
[DOC File]Worksheet: Parabola - U Math Stars
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Rewrite each equation in standard form. 4. 5. opens: opens: p = p = vertex vertex focus focus directrix directrix axis of symmetry axis of symmetry Write the equation of each parabola with the given information. 6. vertex (-1, 2), focus (-1, 0) 7. directrix y = 8, focus (0,0) 8.
[DOC File]Exam 2: Parabolas
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The parabola is geometrically defined as the set of point equidistant from a point and a line. So, we already know algebraically the parabola is given by the equation y = x2 which would suggest every point on the parabola is basically of the form (x, x2) (eg.
[DOC File]Parabola Worksheet
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Let the students have a discussion of the different elements of the standard equation and how the group could possibly collect data using the catapult to write an equation. Make sure they talk about the vertex and sign of a (must be negative as the parabola is facing down). Lesson using y=a (x-h)2 +k . Materials (need enough for each group in ...
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