Write the equation for the parabola. Vertex: (1,- 4); Focus: (1, -6) An equation for this parabola is (Simplify your answer. Use integers or fra

Q: Write an equation in intercept form of the parabola that passe intercepts -2 and 4. y%3D

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Q: Find an equation for a parabola with vertex (5, 6) and focus (5, 1) Question Help: Video 1 D Video 2…

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Q: find the equation of the parabola with the given properties. Vertex (0, 0), focus ( 1/12 , 0)

A: The locus of points whose distance from fixed point is equal to its distance from a fixed line ,…

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

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Q: Write an equation of the parabola in vertex form that passes through (-7,-15) and has vertex (-5,…

A: When we cut a right circular cone with a plane at different angles, we obtain different planar…

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

A: Given vertex of the parabola is ( 0, -5 )

Q: Question0Sb: Write y- 3x+24x + 50 in standard fom. Identify the vertex, axis of symmetry, and…

A: y=3x2+24x+50 On simplification, we get ⇒y=3x2+24x+48+2⇒y=3x2+8x+16+2⇒y=3x+42+2⇒y=3x--42+2 Now…

Q: Write the equation in standard form. Identify the vertex, axis of symmetry, and direction of opening…

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Q: Find the equation of the parabola with focus - 2, 5 and vertex (- 2, - 3). What is the equation for…

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Q: Write the equation in standard form . Identify the vertex , axis of symmetry , and direction of…

A: Given, The equation of the parabola y =-2x2 +12x-14 We have to write the equation in standard form ,…

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

A: Question;- Which equation represents a parabola with a vertex (-3,2) and focus (-3,5)…

Q: What is an equation of a parabola with the given vertex and focus? vertex: (-2, 5); focus: (- 2, 6)

A: Use standard form of parabola

Q: Write the equation for a parabola with axis of symmetry: x=3, focus: (3, -1) and directrix: y=-7.

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Q: Find the standard form of the equation of the parabola with the given characteristics. Vertex: (3,…

A: The standard form of a parabola equation is given by y-k2=4px-h with vertex h,k and focus h+p,k The…

Q: Write the equation in standard form . Identify the vertex , axis of symmetry , and direction of…

A: Consider the given equation of the parabola  y=x2-2x+4

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: y = 3x² + 6x – 5

A: The function is y=3x2+6x-5

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

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Q: E. Explain what a second-degree equation in tow variables, x and y, is, and how you can ell whether…

A: Please look into the next step for details

Q: Write the equation of the parabola in standard form. Vertex: (-3, -4); The graph passes through the…

A: Standard form of a parabola: (x-h)2=p(y-k)2        ...(1) Where (h, k) is vertex of parabola.

Q: Vertex: (6, –8), Focus: 4

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Q: Using the graph, determine the coordinates of the vertex of the parabola. 10 -4

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Q: Sketch a parabola with zeros at -5 and 7. Will everyone's sketch look the same? Explain your answer.

A: Topic = Parabola

Q: Find an equation of a parabola that has vertex at the origin, opens right and passes through the…

A: we have to find an equation of the parabola that has vertex at the origin, opens right and passes…

Q: Write an equation of the parabola in vertex form. (8,3) 8 (4,-1) 4 An equation of the parabola is y…

A: Equation of parabola which open upwards or downward in the vertex form is y=a(x-h)2+k  here (h,k) is…

Q: Which equation represents the axis of symmetry of the graph of the parabola below? y 25 -5 -25

A: Coordinate geometry

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

A: Given:

Q: 5 4 3 -2 2 4 5 -3

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Q: Teacher Does Student Does What is the equation of the parabola? What is the equation of the…

A: We know that graphically, root of an equation is the value of x , where graph cuts or touches the…

Q: Write the equation of the parabola with the vertex (-4,2) and the directrix y=-3

A: Since directrix is vertical hence equation of parabola opens up or down can be given as  (x-h)2 =…

Q: Write an equation for the parabola with a vertex (-5,5) and directrixx - 15. An equation for this…

A: Given vertex is (-5,5) directrix x=-15 Vertex form of horizontal parabola is  x=a(y-k)2+h Given…

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: A soccer ball is kicked into the air. Its height above the ground is described by the equation y = −…

A: Given y=-16x2+48x

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

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

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Q: Find an equation of the parabola with vertex , 1−4 and focus , 7−4 .

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Q: How did the graph change from the original parabola? √ Share With Class

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Q: ntify the coordinates of the vertex and focus, the equations of the axis of symmetry and directrix,…

A: We have given equation of parabola.

Q: Find an equation of the parabola with vertex (-4,-5) and focus (1,-5)

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Q: Which of the equations below also represents the parabola y=−3x^2−18x+16? (options in image)

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Q: Find the standard form of the equation of the parabola with the given characteristics Vertex: (2,…

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Q: 2x2 + 8ху + 8у? + 12х + 24у+18 %3D 0

A: 2x2+8xy+8y2+12x+24y+18=0⇒x2+4xy+4y2+6x+12y+9=0⇒x+2y2+6(x+2y)+9=0let x+2y=tt2+6t+9=0it can rewritten…

Q: Write an equation for a parabola with x-intercepts (-2,0) and (3,0) which passes through the point…

A: Solve for the equation

Q: Use the information provided to write the equation of the parabola. Vertex: (-5, -8) Focus: (-5, -)…

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Q: Using the graph, determine the coordinates of the vertex of the parabola.

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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 the equation in standard form . Identify the vertex , axis of symmetry , and direction of…

A: Consider the equation, y=x2+4x+1

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.