15 2. Find the equation of a parabola through(-, 2) and (0,–1) whose axis is parallel 4 to the x-axis and latus rectum equal to 4. 3. Find the equation of a parabola passing through (3, 1) whose vertex is at (6, 0) and whose axis is parallel to the y-axis.

Q: Find the equation of the parabola and put it in the form f(x)= ax^2 +bx+c  Given:  Vertex: (2/3 ,…

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Q: 11 Write the equation of the parabola that has "a" value 3 and y-intercept 6. 0/1

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Q: 5. The equation of a family of parabolas with axis paralel to the y-axis is 6. The equation of the…

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Q: Graph the parabola from Part 1. 22--20y

A: Given:        x2 = -2y This is the parabola with vertex at (h,k) = (0,0), and focal length |p| = 5…

Q: There is a parabola which has a minimum where the two lines 3x+6y-1=0 and 2x+ y-2=0 intersect. The…

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Q: 2)Find the points on the curve y = 2x3 + 3x2 − 12x + 9 where the tangent line is horizontal.

A: As per our guidelines we are allowed to answer only one question. Kindly repost the other question…

Q: A parabola of y=x^2 has been regraphed and now sits with each side plotted at (-3,5) and (3,5) and…

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Q: 7. Determine all values of a that will cause the parabola y=ax² +10x+1 to cross the x-axis at two…

A: 7) y=ax2+10x+1 ...................eq (1) For parabola to cross the x- axis put y=0 0=ax2+10x+1…

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

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Q: What is the equation in vertex form of a parabola with a vertex of (-3, 4) that passes through the…

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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: 9. Find the equation of the parabola that had vertex at (4,-2) and focus at (6,-2)

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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: 13. Write the equation of the parabola with x- intercepts at ( 3,0) and (9,0) that passes through…

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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: Finally, determine a. The parabola passes through the point (0, 5). Substitute the values of x and y…

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

A: As per our guidelines we are supposed to answer only one question at a time. So submit the other…

Q: The point (1,2) lies on the parabola: y 3x2 -2x+2 %3D

A: Thanks for the question :)And your upvote will be really appreciable ;) False statement (1,2) does…

Q: 5. What is the standard for equation of a parabola with its vertex at (0,0) and a directrix of x-3?…

A: Given: A parabola has vertex 0, 0 and directrix x=3      ……1   To find: Equation of parabola

Q: 30+ y 24 18 ------- 12 ---<-- - -10 -8 -6 -4 2, 4 8. 10 -- ----- -- -- -18 -24 -12 +30+ Identify a…

A: The equation of the hyperbola with center h,k if the transverse axis is horizontal then the equation…

Q: 8. Find a, b and c so that the parabola whose equation is y = ax² + bx + c has the vertex at (3,2)…

A: As we know that for the parabola y=ax2+bx+cthen its vertex is given by (-b2a,4ac-b24a)

Q: 5) Find the equation for the parabola that has its vertex at (5,-3), axis parallel to the y-axis,…

A: given,         vertex of parabola =5,-3  and passing through the point 9,5

Q: 8. The equation of parabola with vertex (0,0), passing through (-2,8) and axis that coincides with…

A: Problem number 8 is solved. Solving more than one question is against the policy of bartleby.

Q: What is the equation of the parabola in general form given its vertex at (-1,-5) and focus at…

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Q: Find the y-intercept and any x-intercept(s) of the parabola with equation y = -(x + 7) + 16. If the…

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Q: Find the equation of a parabola that has a vertex of (7, -4) and contains the point (0, 94),…

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

A: Given query is to find the equation of the paraola.

Q: 2 What are the intersection points of the parabola given by the equation y = x“ – 9 and the line…

A: We are answering only the first question as per our honor code. Given, The equation of a parabola…

Q: Find the standard equation of a parabola if its latus rectum measures 9 units, axis at y = 3, p is…

A: Let's find standard equation of a parabola.

Q: 4. Find the equation of a parabola with axis parallel to the y-axis and passing through ( ). G. 3…

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: 10. a) Find an equation for the parabola with vertex (1, 4) that passes through the point (3, 8).

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Q: 1. Consider the parabola whose directrix is at x = -7 and whose focus is at (-1, 1). What is the…

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Q: How do I solve this optimization problem?

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Q: 2. A parabola with axis parallel to the x-axis and passing through (5,4), (11, –2) and (21, –4)

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

Q: Find a parabola with equation y=ax^2+bx+c that has slope 4 at x = 1, slope -8 at x = -1, and passes…

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Q: 7. Write an equation for each parabola a) 0, 11) 8- 4- (4, –5) b) | YA |(-6, 4) 4- (-5.3) 2 -6 -2 0…

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Q: 3. Find the dimensions and area of the largest rectangle having its two lower corners on the x- axis…

A: The given problem is solved below in detail.

Q: What is the equation of parabola with vertex at (-2,0) and focus at the intersection point of the…

A: Given: (x+2)^2=-16y-64 and (x+2)^2=16y+64

Q: 9. Find an equation of the parabola that satisfies the given condition: Vertex V(-1,0) and focus…

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Q: 8. The equation of parabola with vertex (0,0), passing through (-2,8) and axis that coincides with…

A: Note:-  In the given questions No. 7 is incomplete because in this option(a) is missing + and -…

Q: Find the standard form of the equation of the parabola with the given characteristic(s) and vertex…

A: Equation of parabola  y = a(x-h)2 + k Vertex ( h,k) is at origin (0,0) y = ax2

Q: 2) Consider a horizontal parabola of the form ay2 +by+c = x where a 0, and whose graph contains the…

A: In this question, the concept of the parabola is applied. Parabola A parabola is a curve equation in…

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: 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: Find the equation of the line tangent to (a) The parabola z = 2x² - 3y², y = 1 at the point (-2,1,5)…

A: Given: we have to find equation of tangent lines   equation of tangent line : y-y1=m(x-x1)

Q: 7) Find the standard form of the equation for the parabola with vertex (1,2) and directrix y -1.

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Q: 33) Find the points of intersection between the line x - y - 2 = 0 and the parabola y = 4 - x 2.

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Q: Determine the coefficients a, b, and c of the parabola y = ax² + bx +c that passes through the point…

A: Solution is here