If the vertex of  a parabola is the point (-3,0) and the directrix is the line x+5=0,  then find its equation

Q: Suppose a and b are positive numbers. Sketch the parabolas y2 = 4a2 - 4ax      and         y2 = 4b2…

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Q: There is a parabola which has a minimum where the two lines 3x+6y-1=0 and 2x+ y-2=0 intersect. The…

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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 vertex of the parabola (y - 1)2 = 16x?

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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 the equation of the directrix of the parabola y=16x.

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Q: Find all hyperbolic lines that passes through i +1 and parallel to the y-axis.

A: Find all hyperbolic lines that passes through i+1 and parallelto the y-axis.

Q: (r- 13) = 10 (y – 11)

A: Let us plot the above equation.

Q: Solve for the equation of a parabola with focus of (-1, -2) and a directrix y = -4. Show solution

A: the equation of a parabola with axis of symmetry parallel to x-axis when the directrix is of the…

Q: The focus of the parabola defined by the equation x2 = 20 y is (4, 5) (0, 0) O Option 1 O Option 2…

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Q: The roots of the equation x² - 6x + I = 0 are? The equation of the line of symmetry to the curve y…

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Q: What is the effect on the graph of a parabola if it's equation in standard form has increasing value…

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Q: Arrange the parabolas represented by the equations according to the positions of their foci on the…

A: The standard form of a parabola is  (x – h)2 = a(y – k) where (h, k) is the vertex.

Q: Find an equation of the parabola with vertex (-5,-4) and directrx y =-11,

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Q: write in standard(vertex) form the equation for the parabola which has the following properties:…

A: Given, Parabola equation has zeros at x=1 and x=7. Maximum value = 12 The standard form of the…

Q: Solve for the directrix of the parabola y2 + 8x = 32

A: We have to solve for the directrix of the parabola y2 + 8x = 32.

Q: Draw the Graph of the following equations: a) Y = 2x - 5 b) Y = ½ x^2 + 1

A: To draw the graph of the following equations.1 y=2x-52 y=12x2+1

Q: Determine the standard equation of the parabola opening upward, with focus at (0,6) and whose length…

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