Find the axis of symmetry for the parabola whose equation is given. Use the axis of symmetry to find a second point on the parabola whose​ y-coordinate is the same as the given point.   f(x)=2(x+4)2-3; (-3,-1)

Q: A parabola has equation y= 9x2 +x+c . One x-intercept is -2. What is the value of C

A: Given, The equation of the parabola  y =9x2 +x+c  One x-intercept is -2.  We have to find the value…

Q: Find an equation for the parabola that has its vertex at the origin and has its focus at the point:…

A: Given,        An equation for the parabola that has its vertex at the origin and has       it's…

Q: Find an equation for the parabola that has its vertex at the origin and has its focus at the point:…

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Q: Find the x-intercepts and the coordinates of the vertex for the parabola y = x^2 – 2x + 1. If there…

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Q: Find the equation of the axis of symmetry and the coordinates of the vertex of the parabola given by…

A: Consider the following given equation,

Q: A parabola with the equation y -2x2 + 4x +3 is intersected by a line with a slope %3D of 1 that…

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Q: Find an equation of the parabola that satiesfies the following conditions. a)Vertex at V(-3,5), axis…

A: Given: Vertex : −3,5 axis of symmetry parallel to the x-axis, passing through the point (5,9).

Q: Find an equation for the parabola that has its vertex at the origin and has its focus at the point:…

A: If we have equation of a parabola y=a(x−h)2+k, then the vertex is at (h,k) and the focus is (h,…

Q: Find the equation of the axis of symmetry of the following parabola algebraically y = -x + 8x

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Q: Find an equation for the parabola that has a horizontal axis and passes through the given…

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Q: A parabola has its vertex at (2,-3) and it's y-intercept at 5. Write an equation of the parabola in…

A: Vertex (2,-3) y intercept at 5 y=a(x-h)2+k

Q: Find an equation of the parabola that satisfies the given conditions.Vertex V(-3, 5), axis parallel…

A: Vertex V(-3, 5), axis parallel to the x-axis, and passing through the point (5, 9)

Q: A straight line touches the rectangular hyperbola 9x² -9y² = 8 and the parabola y =32x. the equation…

A: Introduction :

Q: Find the equation of the axis of symmetry of the following parabola algebraically. y = a² – 6

A: This question is related to conic section .

Q: Using the graph, determine the coordinates of the roots of the parabola. y 10 8 5 4. 3 1 -10 -9 -8…

A: Roots of the function from the graph

Q: Find the standard equation of a parabola that has a vertical axis and satisfies the given…

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Q: Using the graph, determine the coordinates of the y-intercept of the parabola. 10 8. 4 -10 -9 -8 -7…

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Q: A parabola has an equation of x²-4y-2x+8=0. Find the length of the latus rectum.

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Q: Using the graph, determine the coordinates of the x-intercepts of the parabola. 10 6. 4 3 -10 9 -8…

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Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

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Q: Determine the equation of the parabola whose graph is given below. Write the equation in general…

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Q: Consider a parabola with x-intercepts (-1,0) and (3,0) and which passes through the point (4,-10).…

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Q: Find the standard equation of a parabola that has a vertical axis and the given condition:…

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Q: The equation of the axis of symmetry of a parabola is x 2. If the parabola intersects the x-axis at…

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Q: Find the standard form of the equation of the parabola with the given characteristics, Axis is…

A: To find the standard equation of parabola  Given Axis is parallel to y-axis Parabola passes through…

Q: 5) Find the equation for the parabola that has its vertex at (5,-3), axis parallel to the y-axis,…

A: given,         vertex of parabola =5,-3  and passing through the point 9,5

Q: A cannonball fired out to sea from a shore battery follows a parabolic trajectory given by the graph…

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Q: Find the axis of symmetry and vertex for the parabola y=x^2-2x+3.

A: Topic-parabola

Q: of f(x) = ax2 + bx +c Determine the equation the parabola in the form

A: Given equation of parabola  fx=ax2+bx+c which passes through (0, -4), (1, 0) and (2, -4).

Q: Find the coordinates of the vertex and the equation of the axis of symmetry for the parabola given…

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Q: Find the equation of the axis of symmetry and the coordinates of the vertex of the parabola given by…

A: From the given information it is required to calculate the equation of axis of symmetry and…

Q: Find the vertex, axis of symmetry and y-intercept of the associated parabola 2x2 44 f(x) Vertex Axis…

A: Formula:

Q: Find an equation for the set of  all possible vertex points of a parabola that has an x-intercept at…

A: Consider that the origin (0, 0) is shifted to a point (h, k). Thus, any point (x, y) will be shifted…

Q: Write an equation for the parabola that passes through (4,3) and has x-intercepts of -1and 5. The…

A: The parabola that passes through (4,3) and has x-intercepts of -1and 5 Let x1=-1 x2=5   The…

Q: Find the axis of symmetry for the parabola whose equation is given . Use the axis of symmetry to…

A: fx=3x+22-5 Comparing with fx=ax-h2+k, we get a=3, h=-2 & k=-5 Therefore axis of symmetry is,…

Q: Find the axis of symmetry for the parabola whose equation is given.Use the axis of symmetry to find…

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Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

A: Given y = 3x2 + 11x + 6

Q: Find the vertex and the axis of symmetry of the parabola given by the equation. y = −x2 + 8x − 18…

A: Provided equation of the parabola is given below.

Q: Using the graph, determine the coordinates of the x-intercepts of the parabola. 10 6. 17 4 -10 -9 -8…

A: The graph is shown in figure.

Q: Find an equation for the parabola that has a vertical axis and passes through the given points.P(2,…

A: Parabola that has a vertical axis passes through the points P2, 5,  Q-2, -3  &  R1, 6. The…

Q: Write an equation for a parabola with a vertex at the origin, passing through (2,1), and symmetric…

A: The vertex of the parabola is at the origin and it is symmetric about x axis Also it passes through…

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

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Q: Find the vertex and the axis of symmetry of the parabola given by the equation. y = −x2 + 4x − 6…

A: The given equation of parabola is,

Q: Find the equation of the axis of symmetry and the coordinates of the vertex of the parabola given by…

A: Compare the given equation with the standard form of a parabola.

Q: A parabola with the equation y = -2x + 4x +3 is intersected by a line with a slope of 1 that passes…

A: First of all we will find the equation of the straight line and then equate the two curves to find…

Q: Using the graph, determine the coordinates of the x-intercepts of the parabola. 10 8 7. 6. 4 3 -10…

A: From observing the graph,    Graph is cutting x-axis at 5 and 7.

Q: 3. Determine the equation of a parabola with a vertex of (6, -4) and we know that this parabola has…

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Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A: The vertex form of the parabola, y=a(x-h)2+k, where (h,k) is the vertex  Here, (h,k)=(7,4) The given…

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.