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8y ago

There can be many parabolas with the same vertex.

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8y ago

The equation is y = a(x^2/4 + ax + a) - 3 where a is any positive number.

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Q: A parabola has a vertex at -3 -2 what is its equation?
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What is the equation of a parabola with the vertex of 2 -1?

3


The vertex of this parabola is at -2 -3 When the y-value is -2 the x-value is -5 What is the coefficient of the squared term in the parabola's equation?

The vertex of this parabola is at -2 -3 When the y-value is -2 the x-value is -5. The coefficient of the squared term in the parabola's equation is -3.


What are the coordinates of the vertex of the parabola described by the equation below?

The coordinates will be at the point of the turn the parabola which is its vertex.


The vertex of the parabola below is at the point -3 -5 Which of the equations below could be the equation of this parabola?

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The vertex of this parabola is at (2, -4) When the y-value is -3, the x-value is -3 What is the coefficient of the squared term in the parabola's equation?

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What is an equation of the parabola in vertex form that passes through (13 8) and has vertex (3 2).?

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What is the coefficient of the squared term in the parabola's equation when the vertex is at -2 -3 and the point -1 -5 is on it?

A parabola with vertex (h, k) has equation of the form: y = a(x - h)² + k → vertex (k, h) = (-2, -3), and a point on it is (-1, -5) → -5 = a(-1 - -2)² + -3 → -5 = a(1)² - 3 → -5 = a - 3 → a = -2 → The coefficient of the x² term is -2.


The vertex of this parabola is at (-2, -3) When the x-value is -1, the?

Y=a(x-h)+k is the vertex formula. Since the vertex is at (-2,-3) this parabola has the equation: y=a(x+2)^2-3 We can plug in x=-1 but we really need to know a, to solve for y. ( we can solve it, but we will have an a in the solution)


The vertex of this parabola is at 4 -3 Which of the equations below could be its equation?

7


What is the equation of a parabola with vertex at 1 -3 and focus at 2 -3?

For a parabola with an axis of symmetry parallel to the x-axis, the equation of a parabola is given by: (y - k)² = 4p(x - h) Where the vertex is at (h, k), and the distance between the focus and the vertex is p (which can be calculated as p = x_focus - x_vertex). For the parabola with vertex (1, -3) and focus (2, -3) this gives: h = 1 k = -3 p = 2 - 1 = 1 → parabola is: (y - -3)² = 4×1(x - 1) → (y + 3)² = 4(x - 1) This can be expanded to: 4x = y² + 6y + 13 or x = (1/4)y² + (3/2)y + (13/4)


Find the vertex of the parabola y equals -2x2 plus 12x - 13?

The points at which the parabola intersects the x axis are 3-sqrt(10)/2 and 3+sqrt(10)/2. The X position of the vertex is in the middle, at 3. The y position, from there, is simply found by substituting 2 for x in the equation. As a result, the vertex is at (3, 5).


The vertex of this parabola is at 4 -3 When the x-value is 5 the y-value is -6 What is the coefficient of the squared expression in the parabola's equation?

-3