practice 92 parabolas


How to write an equation for and graph a parabola?

    The standard form of the equation is (y + Graph the vertex, focus, and parabola. Exercises Write an equation for and graph a parabola with the given characteristics. 1. focus (—1, 5) and vertex (2, 5) 2. focus (1, 4) ; opens down; contains (—3 8x 3. directrixy = 6; opens down; vertex (5, 3)

Why does the parabola open vertically?

    The equation is in standard form and the squared term is x, which means that the parabola opens vertically. Because 4p = 12, p = 3 and the graph opens upward.

How do you find the equation of a hyperbola?

    The standard form of the equation of a hyperbola is (x — h)2 (y — = 1 when the transverse axis is horizontal, and (Y — k)2 (x — h)2 — 1 when the transverse axis is vertical. In both cases, a2 + b2 = c2.
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