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Q: general form of the parabola

A: Given,             x-72=y-12To find : The general form of the parabola.We knwo that,            The…

Q: when is the vertex of a parabola the minimun point? When is it the maximum point

A: Given query is to find that when is the vertex of a parabola the minimun point? When is it the…

Q: (x)

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Q: What is an example of picture of parabola in real life and its equation of parabola, in standard and…

A: shows how quadratic function can model the natural shape of a banana. I then resize, rotate, and…

Q: A parabola has vertex (2,4.8) and one x-intercept is (3,0). The other x-intercept is (?,0)

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Q: Determine whether the statement, "The vertex of the parabola described by f(x) = 2(x - 5)2 - 1 is at…

A: Now consider, Therefore the given statement is false.

Q: 3. A quadratic function will produce a parabola as a graph because A quadratic function will produce…

A: A quadratic function will produce a parabola as a graph

Q: 4 Write the equation of the parabola given vertex and a point. a) vertex (-2,5); point (3, 6) b)…

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Q: The is the lowest point of a parabola that opens up and the highest point of a parabola that opens…

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Q: What are the vertex and axis of symmetry of the parabola y = x² - 16x + 63? O A. vertex: (-8, -1);…

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Q: Determine whether the statement "If the asymptotes of the hyperbola               (x2/a2) − ( y2/…

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Q: Families of parabolas whose vertex is at x=axis.

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Q: Describe how to find a parabola’s vertex if its equation is in the form f(x) = ax2 + bx + c. Use…

A: Concept:The connecting points in the graph is called vertex. Given:

Q: ] Make a sketch of a parabola with a vertex of (2, -1) and a focus of (2,1). Be sure to label all e…

A: Please refer to the image below

Q: 9. Find the vertex and focus of the parabola whose equation is 24x = -(y – 6)² + 192 O V(-8, –6),…

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Q: of Write an equation in vertex form for each parabola. 11. (5, 4) -16, 1)

A: Given

Q: A parabola with vertex (2, –3)and y-intercept (0, 5) can be expressed in vertex form as f(x) = (x –…

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Q: Find the standard form of the equation of the parabola with the given characteristics. vertex: (2,4)…

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Q: Use a graphing utility to graph x2/4 - y2/9 = 0. Is the graph a hyperbola? In general, what is the…

A: The given equation is x24-y29=0. Sketch the graph of the above equation as shown below.

Q: 6. Find the equation of the parabola with vertex (-2, 5) and focus (-4, 5). (10 points)

A: Given the vertex (-2,5) and focus (-4,5) of a parabola To find the equation of the parabola It is…

Q: o projectiles are shot into the air from the same location. The paths of the projectiles are…

A: Given, Two projectiles are shot into the air from the same location. The paths of the projectiles…

Q: 2- х Find the average height of the arch above the An arch is 675 ft high and has a 560-ft base. It…

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Q: If a parabola has a minimum at the point (-2, 4), the parabola has... O one positive x-intercept,…

A: The vertex form of a parabola is defined by the equation, . If a parabola faces up, it has the…

Q: Use the graph of the parabola to fill in the table. 10 8- 10 -10-8 -2- -6- (a) Does the parabola…

A: Topic:- geometry

Q: Describe the graph of the equation. r =-18i+(1-j+:k O Itisa parabola in the plane: = -18, with…

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Q: 3. Find the vertex form of the parabola tnat passes through the point (-1,2) and has a vertex…

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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: Graph the parabola. y =x²+4x+1 Plot five points on the parabola: the vertex, two points to the left…

A: y=x2+4x+1 to graph the function we need a few points x y=x2+4x+1 -5 y=-52+4-5+1=6 -4…

Q: Two projectiles are shot into the air from the same location. The paths of the projectiles are…

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Q: The vertex of the parabola f («) — г? + 10х + 4 is о (-15, —21) о (-10, —15) (-5, –17) (-10, –21)…

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Q: 3. Identify the vertex, axis of symmetry, and direction of the opening of the parabola y =x - 4x +…

A: Understand with help of graph

Q: 7. Find the equation of the parabola in standard form vertex at the origin passing through the point…

A: The equation of the parabola in vertex form with vertex (h.k) is y = a(x-h)2+k Here the vertex is at…

Q: 20. Parabolas with vertex and focus on the x-axis.

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

Q: Find the vertex of the parabola y=11-(x-16)^2 and determine whether it is a minimum or maximum.

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Q: b. Family of parabolas whose vertex is along the line y -2, %3D

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Q: 1. Which statement describes the parabola y = -x- 4 – 26? vertex at (-2,-22), directrix y =-21.75,…

A: Parabola

Q: Find the vertex formula of a parabola whose: Vertex is (-1,3) Y intercept: (0,9/4) X intercepts:…

A: Given, The parabola with Vertex is (-1,3) , Y intercept:  0, 94 ;  X intercepts: (1,0) and (-3,0).…

Q: See attached

A: To identify the vertex and the four points of the parabola as required, in order to graph it

Q: Parabolas with axis parallel to the x-axis

A: Parabolas with axis parallel to the x-axis

Q: Suppose a parabola has symmetry with respect to the line x = 3. If (8, 19) is a point of the graph,…

A: Given that : A parabola has symmetry with respect to the line x = 3.    If  (8,19) is a point of the…

Q: The vertex of the parabola f(x) = a+ 14z + 10 is %3D о (-14, -63) о (-21, -39) о (-14, -39) о (-7,…

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Q: Suppose a parabola has an axis of symmetry atx = -2, a maximum height of 8, and passes through the…

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Q: Find the vertex, directrix and graph the parabola (x–2)² =-20(y–1) 个y 9- 8- 7- 9. -5 4- 3 X -10 -9…

A: The given equation of parabola is shifted from the standard parabola.

Q: The family of parabolas with vertical axis and vertex at the point (1, 2).

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Q: Give an example of a parabola that has a maximum at the point (-1, 2).

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Q: 2. Write the equation for a parabola, in vertex form, that satisfies the following conditions: a)…

A: The standard equation of a parabola is given by y=a(x-h)2+k, where (h, k) is the vertex of the…

Q: The family of parabolas symmetric with respect to the r-axis and vertex at the origin.

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Q: A suspension bridge has two supporting towers with a cable secured at either end of the span and…

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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.