please find the equation for parabola with the followin points focus 0,7 vertex 0,5 directrix 0,3

Q: find the coordinates of the vertex and the focus for the parabola given by x2+6x+24y-111=0

A: SOLUTION-

Q: Determine the directrix and axis of symmetry of a parabola with vertex (4,-2) and focus (4,4)

A: The distance between the vertex and the focus is same as the distance between the vertex and the…

Q: b)(y-4)^2=-12(y-2)

A: b) Given equation of parabola is: (y-4)2=-12(x-2) 4a = 12 a = 3 Therefore we get, The vertex of the…

Q: Consider the paraboloid given by the equation z = x^2 + y^2. Find the coordinates of the vertex and…

A: A paraboloid is a quadric surface that has exactly one axis of symmetry and no center. The given…

Q: Find the vertex, focus and directrix of the parabola given by (x - 2)2 = 4(y + 1)..Then graph the…

A:

Q: Graph the equation. Identify the focus and directrix of the parabola. y² =

A: y2=−4xcompare with y2=−4ax

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: Explain how to decide whether a parabola opens upward or downward.

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Q: use the method of completeing the sqaure to find the vertex of the parabola whose equation is…

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Q: -16 + -12 -8 -4 20 94 16- 12+ 8 4 -8- + -12+ -16+ 4 8 12 + + 16 20

A: y2=7x

Q: Find the focus and directrix of the parabola with the equation 6y^2+10x=0. Then choose the correct…

A: Given that, the equation of the parabola is 6y2+10x=0 6y2+10x=06y2=-10xy2=-10x6y2=-4512x Compare the…

Q: Please explain what a focus or directrix of a parabola is and how to find them. Please add many…

A: Here we need to define a focus of a parabola and need to show how to find it.

Q: The line passing through the vertex that divides the parabola into two symmetric parts is . The two…

A:

Q: What is a parabola? Describe its shape.

A: We have to define parabola and describe it shape.

Q: Is it possible for two different parabolas to have the same focus and vertex? Explain with proof.

A: Actually, there cannot be two different parabolas with same focus and vertex..

Q: Write an equation in standard form for a hyperbola with center at (4, 0), vertex (10, 0), and focus…

A:

Q: derive the standard form of equation for a hyperbola?

A: A cartesian coordinate system contains two mutually perpendicular number lines named x axis and y…

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: lin

A: We have to find the equation of a parabola with vertex on the line y = x, axis parallel to Ox and…