1. Find the equation of the parabola given the following parameters and draw the graph of the equation (a) Focus at (0, -3), directrix at y = 2 (b) Vertex at (3, 0), directrix at x = 1 (c) Vertex at origin y axis as axis of symmetry, contains the point (2, 5) (d) Latus rectum is the segment joining (1, 4) and (7, 4) passing through the point (7, 1) (e) Contains the point (2, 10), and (3, 4) axis of symmetry is vertical, vertex is on the line 4x- 3y 6

Q: Which of the following equations represents a parabola with vertex (5,2) and directrix y = - 2? (А)…

A: Let's find equation of parabola.

Q: Find the equation in standard form of the parabola with focus (2, -3) and directrix x = 5.

A: The parabola with focus 2, -3 and directrix x=5. To find the equation of the parabola.

Q: 5) Find the vertex and axis of symmetry of the parabola with focus F(7/2,3) and directrix line…

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Q: Write the equation of a parabola in standard form from the given information Vertex at (2, -2)…

A: Vertex of the parabola is at 2, -2 and focus at 2, -3. Now vertex is, h, k=2, -2⇒h=2  &  k=-2…

Q: Find an equation of the parabola with vertex (5,-5) and directrix y=-3   .

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Q: 8) and directrix y = 7? A B y = -(x - 5)² +8 - y=- 1 -(x + 5)² +8 y = -(x + 5)² - 8 D_y==(x + 5)² +8…

A: Given query is to find the equation of the parabola.

Q: Write an equation of a parabola that satisfies each set of conditions. a) opens upward, congruent…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: Find an equation for the hyperbola whose transverse axis is horizontal, with center at (1, -5) and…

A: Given problem:- Find an equation for the hyperbola whose transverse axis is horizontal, with center…

Q: Given an ellipse has foci at (7,-2) and (7,-8) and the endpoints of the minor axis are at (11,-5)…

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Q: A searchlight uses a parabolic mirror to cast a beam of light in parallel rays where the light bulb…

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Q: Which equation represents a parabola with focus (2, 6) and directrix y = 2? A. y+4=(x-2)² 10 B.…

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