What is the equation of a parabola with vertex at (0,0), opens to the left and the length of latus rectum is 6? y = 6x y = -6x O Option 1 Option 2 y = 6x + 2 none of these Option 3 Option 4

Q: A searchlight is shape like a parabola of a revolution. If the light source is located 2 feet from…

A: Given that , vertex of parabola h,k=0,0 focus of parabola 0,a=0,2 Depth of light y=4 feet Width of…

Q: The vertex of a parabola is (-5, 2), and its focus is (-1,2). What is the standard form of the…

A:

Q: A parabola has no x-intercepts, vertex (1, -4), and is congruent in shape to the graph of y= 5x.…

A: To find the equation of a parabola that has a vertex at (1, -4) and is congruent in shape to the…

Q: The focus of the parabola defined by the equation x2 = 20 y is (4, 5) (0, 0) Option 1 Option 2 (0,…

A: Standard form x^2=4ay

Q: The parabola y = x² – 1 is constructed, but the axes are gone, somehow! With the help of ruler and…

A: Let us consider the function y=f(x) The transformation will shift the graph as  If y=f(x)+c and…

Q: 1. What is the vertex of the parabola y = (x + 6)² - 9? O(-6,9) (6,9) O (-6,-9) (6,-9)

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Q: 21. Which equation represents a parabola with a vertex (-3,2) and focus (-3,5)? O y = -32? – 2x + 5…

A: Parabola question

Q: See attached

A: The given parabolic equation is,

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: O 3. Which is the standard form of the parabola y = -(x +1) + 5? O v = - + 4.5 O v =-+ +5.5 O v =- -…

A: Standard equation of parabola

Q: What is the equation of the directrix of the parabola having a vertex at (6,0), passing through…

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Q: Determine the equation in standard form of the parabola that satisfies the given conditions…

A: Given that :

Q: -1 21 -3 11 -5 6. -7 11 -9 21

A: We have to find whether the given table of x and y represents a parabola or not.

Q: Find the equation y=ax^2+bx+c of the parabola that passes through the points (-2, 0), (0, -14), (7,…

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Q: 16. Which equation represents a parabola with vertex (4, 4) and directrix y = 2? O y = 2a2 - 4x + 4…

A: We need to find the equation of parabola whose vertex is (4,4) and directrix is y = 2

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

A: Given:To Find the standard equation of a parabola that has a vertical axis and lineformula of…

Q: 3. Write an equation for the parabola with focus (1, 3) and vertex (0, 3). a. y = 4(x – 3)² b. y =…

A: Given:      focus =1,3      vertex =0,3  The focus and vertex are horizontally aligned, so the…

Q: Find the vertex of the given parabola. Give all values correct to 3 decimal places. y = 7x2 - 8x +…

A: A detailed solution is given below

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

A: Vertex of the parabola is h, k=0, 5 & it passes through the point 2, -3. Now the equation of the…

Q: Find an equation of the parabola with vertex (-5, 2) and directrix y =-2. D=0 ?

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Q: What is the directrix, focus, and the vertex of the parabola if Vertex V (3, −2) and axis parallel…

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Q: Find the equation of the parabola with directrix y = 3, axis x = 0, and latus rectum 4. (two answers…

A: The standard equation of the parabola is (y-k)=4a(x-h)2, where h and k are the coordinates of the…

Q: the

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Q: Suppose a parabola has a vertex (6, -3) and also passes through the point (8, 5). Write the equation…

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Q: The focus of the parabola defined by the equation x2 = 20 y is (4, 5) (0, 0) O Option 1 O Option 2…

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Q: What is the equation of a parabola with the vertex (3, 7) and the focus (5,7)? = (y – 7)² + 3 B (y-…

A: Vertex of the parabola is 3, 7 and the focus is 5, 7. Now vertex is, h, k=3, 7⇒h=3  &  k=7 Focus…

Q: Find an equation of the parabola with vertex (2, 2) and directrix x = 8. 00 0=0 X Ś ?

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Q: The __________ of a parabola is the point of intersection of the parabola and the axis of symmetry.

A: Consider the below image,

Q: Find the points of intersection between the parabolas y = 6 - x 2 and y = x 2 - 2. %3D

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Q: The equation of the parabola that has a horizontal axis of symmetry, touches the line x= - 8 and has…

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

A: Given vertex at origin and focus (0,3.7) So a=3.7 We need to find the equation

Q: What is the equation of the parabola with horizontal axis, vertex (-2,1), and passes through the…

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Q: What is an equation of the axis of symmetry of the graph of the parabola y = 2x² + 3x + 5? A y=-} O…

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Q: ind the equation y=ax^2+bx+c of the parabola that passes through (-2,0),(0,14),(7,0

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Q: What is the equation of the given parabola? y 4 -5-4-3-2 1 2 3 4 5 A y= 3x² 6x +3 I23 45

A: Here zeros form equation y=a(x-p)(x-q) p,q are zeros of equation

Q: What is the location of the vertex of a parabola given the equation y2+6y-9x-12-D0? O (3,-7/3) O…

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Q: What is the Equation of a Parabola with directrix x = 3/2 and focus (5/2 , 4)

A: The given problen is solved below in detail.

Q: 3. parabola, 4. How can we determine whether a parabola has a vertical or a horizontal axis? 5. How…

A: 4) If x is squared then the parabola is vertical ( i.e. vertical axis parabola) If y is squared then…

Q: See attached

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

Q: The focus of the parabola defined by the equation x2 = 20 y is (4, 5) (0, 0) Option 1 Option 2 (0,…

A: Given query is to find the focus of the parabola.

Q: What are the vertex and the axis of symmetry of the parabola shown in the diagram below? y

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Q: What is the AOS for this parabola? b. What is the vertex for this parabola' а. С. What is the…

A: " Since you have posted  question with multiple sub - parts, we will solve first three sub - parts…

Q: Find the equation of a parabola with the given characteristics. vertex at (0,0); focus at (-10,0)

A: Given:- Vertex (0, 0) , focus(-10, 0)  To find:- Standard equation of parabola

Q: 8x2 + 2y2 – 48x - y = 2y2 - 73 %3D

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Q: What is the standard equation of the parabola which satisfies the following properties: V(-4,2),…

A: Let's find.

Q: Find the general form and graph of the vertex of a parabola is at (-2, 0 with a latus rectum, that…

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Q: Find the Equation of a Quadratic (Parabola) Given 3 Points y=a^2+bx+c (0,0), (-3,3), (3,3) Also,…

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Q: 6. After a reflection in the x-axis, the parabola y =x -4 would have the equation (1) y=x²+4 (3)…

A: Reflection in x axis

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

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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.