Show that the envelope of the family of circles whose diameters are the double ordinates of the parabola y = 4ax is the parabola y = 4a (x + a). 7. Fin- %3D Pro

Q: Calculate the focus and the directrix of the parabola x^2 + 2 x y + y^2 - 4 x + 2 y - 6 = 0.

A: The given equation of conic is:To find:The focus and directrix of the given parabola.Concept:The…

Q: Find the focus of the parabola y2 - 8x + 4y + 28 = 0. Select one: O a. (5, - 2) O b. (3, - 2) O c.…

A: We have to find the focus of the parabola

Q: solve for the focus of the parabola 8y = -x2 + 4x + 36

A: Solution:-     As we know,           The equation of a parabola in a vertex form is…

Q: What is the standard form of equation of a parabola with vertex at the origin and directrix x = 3? A…

A:

Q: Obtain the graph of the parabola y = -x? + 4x using transformations of the graph of y = x². Explain…

A: Given,  y=x2To Obtain: y=-x2+4x using transformation

Q: Find an equation of the parabola with vertex (-4,-5) and focus (1,-5)

A: