Without​ graphing, determine the vertex of the parabola and state whether the parabola opens upward or downward. ​g(x)=3​(x+7​)2+4 What is the vertex of the​ parabola? ​(Type an ordered​ pair.) Determine the vertex of the parabola and state whether it opens upward or downward. ​g(x)=−2​(x+7​)2+4 What is the vertex of the​ parabola? nothing ​(Type an ordered​ pair.)

Q: y=- 3x2 Plot five points on the parabola: the vertex, two points to the left of the vertex, and two…

A: Given query is to find graph tha parabola.

Q: Write the equation of the parabola graphed below in all 3 forms: vertex, standard and factored.…

A: From the graph, Vertex is at (2, -8)  x intercepts are at x = 6 and x = -2 , i.e. y = 0 at these…

Q: Write an equation of a parabola with vertex at origin, focus on the positive x – axis, 2 units away…

A: If the equation of parabola y2=4px then the axis of the parabola is horizontal and vertex is (0, 0)…

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Q: Write an equation for a parabola with a vertex of (5,2) and a focus of (5,1) in vertex form. Show…

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Q: 8. A clown who is shot out of a cannon lands in a net 50 feet away. a) Write an equation of the…

A: The general equation of the parabola is y=ax-d2+c

Q: A parabola has a vertex (0,6) and passes through (-8, -10). Write its equation in vertex form

A: If vertex is (h,k) then the equation is :y=a(x-h)2+k

Q: 2. In order to hear what is said in a football huddle, a listening device is set up on the sideline.…

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Q: Explain the process of finding the vertex of a parabola, use y = 2x + 8x - 24 as an example.Explain…

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Q: A cable of horizontal suspension bridge is supported by two towers 120 feet apart and 40 feet high.…

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Q: Short Answer 8. Write an equation of a parabola that has a vertex (3, 8), opens downward, and is…

A: If (h,k) is a vertex and a is effective factor, then  y=a(x-h)2+k is required equation of parabola.…

Q: The towers of a suspension bridge are 800 feet apart and rise 160 feet above the road. The cable…

A: From the given data and figure,   Its look likes open upward parabola   The low point of the cable…

Q: Graph the parabola. y=3x²-24x+42 Plot five points on the parabola: the vertex, two points to the…

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Q: Find the vertex, focus, and directrix of the parabola, an (x - 8)? - 2(y + 7) = 0 vertex (x, y) =…

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Q: Find the general equation of the parabola with vertex (-5,-7), vertical axis of symmetry and passing…

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Q: The Ion Cannon's flight path is modeled by the equation: y=-+ 10x + 11 a) Factor the equation below:…

A: To answer the following parts for the given quadratic equation y=-x²+10x+11

Q: Determine the vertex, focus, directrix, and axis of symmetry of the parabola with the equation y =…

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Q: Golden Gate cables The profile of the cables on a suspension bridge may be modeled by a parabola.…

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Q: When Ms Bibbig kicked a soccer ball, it traveled a horizontal distance of 150 feet and reached a…

A: Given- When Ms. Bibbig kicked a soccer ball, it travelled a horizontal distance of 150 feet and…

Q: (c) Write an equation in standard form of the parabola which has its vertex at (5, 2).[Hint:…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: sketch a graph of each parabola. label the coordinates of the vertex abd the equation of the axis of…

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

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Q: 3. Does this parabola have a minimum or maximum and what is its value? В. -3

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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: Tutorial Exercise Write an equation for the parabola in standard form. y 10 (0, 7) - 10 -5 10 (-3,…

A: We will use the concept of parabola to find solution to the problem .

Q: A spotlight uses a parabolic reflector, a surface with a parabolic cross-section, and a lightbulb at…

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Q: Graph the parabola. = -2x² + 12x- 23 ア=- Plot five points on the parabola: the vertex, two points to…

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Q: Quiz Active 1 Which equation has a graph that is a parabola with a vertex at (5, 3)? O y = (x- 5)2 +…

A: Given: A parabola whose vertex is 5, 3. The vertex form of a concave upward parabola with vertexh,…

Q: A cable of horizontal suspension bridge is supported by two towers 120 feet apart and 40 feet high.…

A: Hence option (c) is correct.

Q: equation of the parabola with vertex

A: Parabola Equation y = ax2+bx+c could be re-written in vertex form: y=ax-h2 + k where: h: is the…

Q: xplain the process of finding the vertex of a parabola. Use an example in your explanation

A: using equation of parabola

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 an equation of a parabola that has a vertex (3, 8), opens downward congruent in shape to the…

A: Given: To explain the given statement as follows, We need to find the equation of the parabola that…

Q: Is it possible to sketch the graph of a parabola given the coordinates of the focus and the vertex?…

A: Yes, It is possible to draw the graph of parabola with the coordinates of focus and the vertex

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: A satellite dish is shaped like a paraboloid of revolution. This means that it can be formed by…

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Q: A highway overpass has a shape that can be modelled by the equation of a parabola. If the edge of…

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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: Graph the parabola and give its vertex, axis of symmetry, x-intercepts, and y-intercept. y= - 4x…

A: The given function is y=-4x2+16x-12

Q: Graph the parabola. 2x+ 12x-23 アー Plot five points on the parabola: the vertex, two points to the…

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Q: What is the equation of the parabola whose focus is at the origin ?(0,0) and whose directrix passes…

A: To sketch the parabola whose focus is the origin and directrix passes through the points (−4,0) and…

Q: what should be the value of k such that the equation y = x2 - 8x + k is a parabola with vertex at…

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Q: write the equation of a parabola that opens upwards and has the vertex (1, 1) that passes through…

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Q: Topic- standard form of the equation of the parabola. vertex(-7,9)passes through (-4,8)and opens…

A: Given:- vertex (-7,9) and parabola passes through b(-4,8) To find:- standard equation of parabola

Q: Write an equation of the parabola with vertex (0, 0) and directrix x = 2. An equation of the…

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Q: The Green Shell's flight path is modeled by the equation: y=-x+28x+ 500 y%3D a) Graph the equation…

A: Given: y=-x24+28x+500

Q: An arch is in the shape of a parabola with its vertex at the top. It has a span of 100 feet and a…

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Q: Example of word problem of a parabola with solution.

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Q: Graph the parabola. x= 2(y-2)²-4

A: Given,   x=2(y-2)2-4

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.