The directrix of a parabola is x = 0. Its focus is (2, 6). What is the standard form of the parabola? Enter your answer by filling in the boxes. 2 ||

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

A: Given,        An equation for the parabola that has its vertex at the origin and has       it's…

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

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

A: General equation of parabola,(x-h)2 = 4p(y-k)where (h,k) is Vertexy = k-p is directrix

Q: a. Find the coordinates of the vertex of the parabola y = ax2 + bx + c, a ≠ 0. b. When is the…

A: given the coordinates of the vertex of the parabola y = ax2 + bx + c, a ≠ 0.

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

A: To find  an equation for the parabola that has its vertex at the origin and satisfies the given…

Q: Which is true about the graph of y < x2 + 2x − 6?   A. The parabola is a solid line. B. The…

A: Equation : y=x2 + 2x - 6 y = x2 + 2x +1 - 7 y = (x+1)2 - (√7)2 (y+7) = (x+1)2  This is equation of a…

Q: y² -4x + 4y-8=0 The general form of a parabola is What is the standard form of this parabola? Enter…

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Q: 79. Given an equation of a parabola (x – h) = 4p(y – k) or (y - k) = 4p(x – h), how can you…

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Q: 2. Circle the parabolas that are stretches of the graph y = x². а) у3 1.25х? c) y = – x? b) y = 0.25…

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Q: Find an equation of the parabola that satiesfies the following conditions. a)Vertex at V(-3,5), axis…

A: Given: Vertex : −3,5 axis of symmetry parallel to the x-axis, passing through the point (5,9).

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

A: If we have equation of a parabola y=a(x−h)2+k, then the vertex is at (h,k) and the focus is (h,…

Q: For the parabola shown below: y Which is an accurate conclusion about this parabola? Select one: O…

A: According to the guidelines in case of multiple questions, We are only allowed to do first question.…

Q: Determine whether the statement is true or false. The graph of y = 2y + 9x is a parabola. %3D O True…

A: Standard equation of the parabola:

Q: What is the equation of the drawn parabola? Notice that the green dot near the "f " marks the…

A: We can draw graph

Q: Use a graphing device to graph the parabola. 8y2 = x

A: Parabola - Parabola is a locus of the points that have equal distance from a fixed point and fixed…

Q: PARABOLAS WITH VERTEX AND FOCUS ON THE Y-AXIS

A: 2. Equation of the parabola having vertex and focus on the Y-axis is y-k=a(x-0)2 ⇒y=ax2+k, where a…

Q: Find the general equation of the parabola with vertex at the origin and focus at (-4, 0)

A: The general equation of a parabola with vertex (h,k) is (y-k)2=4a(x-h)

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

A: Here we have to find the equation of the parabola that has its vertex at the origin  and Directrix:…

Q: (y-p)2²=4a(x-q)

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Q: Find an equation of the parabola whoes garph is shown.

A: From the given diagram: Square ABOC: AB=BO=OC=AC The area of the square ABOC has 16. That is,…

Q: A parabola has a vertex at the origin and a focus of (0, 7/4). What is the equation of the parabola.

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Q: A parabola has an equation of x²-4y-2x+8=0. Find the length of the latus rectum.

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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: Let the focus of the parabola be (a,0)=(-6.5,0). Let the vertex of the parabola be (h,k)=(0,0) The…

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

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Q: B. A: 2/34 Correct the parabola other than the vertex.

A: Explanation of the answer is as follows

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

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

A: Given: The parabola has its vertex at the origin and  Directrix has y - intercept 8. We have to find…

Q: The parabola y = mx- (m+ 1)x + 2m-1 passes through the point A(2, 9). Find the value of m. %3D

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Q: what is the opening of the parabola? x^2-y+4=0    a. right b. left c. upward d. downward

A: Given: y=x2+4 We know that equation of parabolay=ax2+bx+c, open upward if a&gt;0 and open downward…

Q: Graph the parabola and find its vertex and the axis of the parabola. f(x) = - (x + 4)² %3D

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Q: Find the focus, the directrix, and the vertex of the parabola x^2 − x + 3y − 2 = 0

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Q: The base of a solid is the segment of the parabola y²=12x cut off by the latus rectum. A section of…

A: The base of a solid is the segment of the parabola y²=12x cut off by the latus rectum. A section of…

Q: A parabola is modeled with the equation x² - 12x + 4y + 24 = 0. Which is the domain and range of the…

A: This question is based on Parabolic function domain and range.

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: 1) y = ax2 ;What values of a will make the parabola open down? %3D

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Q: te an equation for the parabola with tex at (-3, 0), opening downward, . with a vertical stretch of…

A: we have to find the equation of parabola with vertex at (-3,0) opening downwards and a vertical…

Q: Find an equation for a parabola that has its vertex at the origin and satisfies the following…

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Q: The asymptote of the hyperbola given by x²/9- y²/4 = 1 has the equation?

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Q: Find the point(s) of intersection of the parabolas y =x2 andy = -x2+ 8x.

A: Definition used-      Point of intersection-           For finding the point of intersection of…

Q: 3. Find an equation of a parabola with a vertex at the origin and directrix y=-3.5 Oy=--x 14 Oy= ?…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

A: Given y = 3x2 + 11x + 6

Q: 2. CE Board Nov. 2004 A parabola has an equation of y2 + 4y – 4x - 8 = 0. Locate the vertex of the…

A: Given: Equation of the parabola:y2+4y-4x-8=0 To Find: the vertex of the parabola Concept: if…

Q: The directrix of a parabola is x= 0. Its focus is (2,6). What is the standard form of the parabola?…

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Q: The directrix of the parabola x2 – 4 y = 0 is

A: According to our guidelines we are supposed to do only one question . Kindly repost the other…

Q: Find the coordinates of the vertex for the parabola. Round your answer to 2 decimal places. Include…

A: Given query is to find the vertex for the parabolo.

Q: Consider the parabola y = 4 – 22. Find the coordinates of the point P on the parabola in the first…

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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: A parabola has a vèrtex at the origin and a focus of (0, 3/2). What is the equation of the parabola.

A: The general equation of a parabola with vertex at origin is given by y2=4ax. The distance between…

Q: Determine the following details about the parabola associated with the equation y = (x + 2) – 16.…

A: Solution: The objective is to find the vertex of the given parabola