Write an equation for the parabola with a vertex (-5,3) and directrix x= - 8. An equation for this parabola is (Simplify your answer. Use integers or fractions for any numbers in the expression.)

Q: write the equation of a parabola whose directrix is x = 5.75 and has a focus at (12.25, 5).

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Q: Write an equation for the parabola graphed below.

A: Write equation of parabola

Q: write the equation of a parabola whose directrix is x = 3.25 and has a focus at (10.75, -8).

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Q: Solve for the equation of the parabola described. Vertex at (2,4); focus at (2,-1)

A: A function is usually represented as f(x) where x is the input to the function and f(x) represents…

Q: Write the general form equation of the parabola that passes through (3,-13) with vertex at (5,-1)

A: We use f(x) =a(x-h)²+k where vertex is (h,k).

Q: Which of the following is the vertex of the parabola represented by the equation y+5= 6(x - 6)??…

A: the vertex form of a quadratic equation is y=a(x−h)2+k. parabola's vertex: (h,k).

Q: The equation of a parabola is y = -x 2 -4x + 3 . Give the equation of the axis of symmetry of the…

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Q: Rewrite each equation as y-k=a(x-h)² or x-h=a(y-k)². Find the vertex, focus, and directrix of the…

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Q: Write an equation for the parabola with a vertex at the origin and focus (5,0).

A: Since the vertex and focus are on the x-axis. So the standard form will be: Given that the vertex=…

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: Write an equation of the parabola with a vertex at the origin and the given focus. G. (0, 3) (0) Н.…

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Q: Graph the parabola: the vertex, two points to the left of the vertex, and two points to the right of…

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Q: (r- 13) = 10 (y – 11)

A: Let us plot the above equation.

Q: Write an equation for the parabola with a vertex at the origin, passing through (V6,30), and opening…

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Q: Nrite an equation for the parabola shown to the right. (2, 0) (3, - 1) 8.

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Q: A parabola has a vertex at the origin and a focus of (0, - 7). What is the equation of the parabola.

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Q: Which equation refers to a hyperbola with the center at the orig x² y² a² = 1 b2

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Q: Vertex: (6, –8), Focus: 4

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Q: find the standard form of the equation. characleristics of the parabola with the verlex: (2,-7)…

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Q: What is the equation of the parabola given:  vertex at (-5, 1) and focus at (-5, 0.5) ? Write the…

A: Given, Vertex at (-5, 1) Focus at (-5,0.5) We know that the vertex form of the parabola is,…

Q: Which equation can represent the parabola in the diagram? A y = -x2 Oy=x- 3 B y= x² O y= -x – 3

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Q: Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an…

A: Compare with standard equation of parabola and then solve it.

Q: Determine the equation of the parabola graphed below. Enter your answer in vertex form. 4 3 1 -2 -1…

A: We can find the equation of parabola in vertex form as below

Q: Write an equation for the parabola shown to the right. The equation of the parabola is. (Use…

A: consider the equation of parabola is  y=ax2+bx+c

Q: Find the equation Gr the parabola with center Cor vertex) at Ca,-4) and facus at (2,0).

A:

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

A: Given:

Q: Which equation represents the parabola graphed on the coordinate plane below?

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with the vertex form…

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

A: Given:

Q: 16. Which equation represents the given parabola?

A: We want to find the equation of given parabola.

Q: Identify the graph of the equation as a parabola (with vertical or horizontal axis), circle,…

A: Given that, y2=143-x2

Q: Write the equation for the parabola. Vertex: (1,- 2); Focus: (1,- 4) An equation for this parabola…

A: Given, Vertex = 1, -2 Focus = 1, -4  We have to write the equation of the parabola

Q: y = 3x² + 6x – 5

A: Topic - vertex form of parabola y=3(x+1)2 -8

Q: (a) What are the coordinates of the vertex of the parabola? Use of the grid below is optional. (b)…

A: We are given directrix y=4 and focus (-1,-2). We will use basic definition of the parabola to find…

Q: Sketch and determine the opening, vertex and focus of the parabola with an equation of y? - 8x + 16…

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Q: Write an equation of the parabola in standard form when focus is (9,0) and directrix is x=-9

A: The equation of parabola having directrix x=aand focus (a,0) is given by=y2=4ax

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: Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an…

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Q: Find the attributes of the parabola. Provide the equation for the quadratic function.

A: Given To find the attributes of the parabola and provide the equation for the quadratic function.

Q: Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an…

A: We will find out the required value.

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: Find the equation of the axis of symmetry of the following parabola algebraically. 3x2 + 6x - 12 y =…

A: The equation of the parabola y=3x2+6x-12. We have to find the equation of the axis of symmetry for…

Q: Write the standard form of the equation of the parabola that has the indicated vertex and passes…

A: GIven information: The vertex of the parabola is -3,4 and the point is 0,13. The general equation of…

Q: Find the coordinates of the vertex of the following parabola using graphing technology. Write your…

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Q: Write the equation of a parabola whose directrix is x 12.5 and has a focus at (5.5, – 9). -

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Q: Determine the equation of the parabola shown.

A: From the given equation of the parabola, the graph crosses the x-axis at two points which are x = -5…

Q: Which equation represents a parabola with a vertex (-3, 2) and focus (-3, 5)

A: Section of a right circular cone by a plane parallel to a generator of the cone is a parabola. It…

Q: Graph the parabola. Label the vertex, axis, and intercepts in case. y = 1/2 x2 + x + 4

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Q: Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an…

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Q: Write an equation for the parabola shown to the right. The equation of the parabola is (Use integers…

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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.