Find the equation of the parabola with the following data. F (-3, -2), V (-3, -5)

Q: Find the vertex and all of the intercepts for the following parabola: f(x) = x2 +4x+10

A: Given: The equation of parabola f(x) = x2 +4x+10.

Q: Write the equation of the function represented by the parabola in vertex form and in the form y =…

A: Given points vertex (-1,-6)(0,-4)

Q: f V(-2,-2); p- 2

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Q: Find the equation of the parabola, y = ax^2 + bx + c, that passes through the points (0,5), (2,-5),…

A: we have to find the equation of the parabola y=ax2+bx+c that passes through the points (0,5), (2,-5)…

Q: Write the following equation of the parabola in standard form: y²-6y - 6x3 = 0 m 1

A: Topic:- Geometry

Q: Find the intersection points of the parabola above and the line -x+y=-4.

A: Given equation of parabola and the line are as below.

Q: Determine the axis of symmetry of the graph of the following parabola. f(x) = 2x² + 16x + 33

A: f(x)=2x2+16x+33

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

A: Given: Focus: F0,-34 To Find: Equation of the parabola that has vertex at the origin and satisfies…

Q: The vertex of the parabola f(r) = a? + 8a + 2 is О (-4, -14) о (-8, -14) О (-12, —14) О (-4,-12) о…

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Q: Find the standard equation of any parabola that has vertex V.

A: The equation is a statement that consists of equal symbol between two algebraic expressions. The…

Q: Write an equation for the parabola with the given focus(F) and vertex(V). F(-2, 5) ; V (–2, 7) (x –…

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Q: Find the equation of the axis of symmetry of the following parabola algebraically. y = a² – 6

A: This question is related to conic section .

Q: Write an equation of the parabola with a vertex at the origin and the given focus. G. (0, 3) (0) Н.…

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Q: Using the graph, determine the coordinates of the roots of the parabola. y 10 8 5 4. 3 1 -10 -9 -8…

A: Roots of the function from the graph

Q: Find the equation of the parabola, y=ax^2 + bx + c, that passes through the points (1,4), (-1,0),…

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Q: 5. If graphed, which of the following parabolas would lie entirely below the x-axis? (1) y=x² +5x+10…

A: We’ll answer the first question  . Please submit a new question specifying the one you’d like…

Q: Write the equation, in standard form, of the parabola containing the following points: (0, 1), (1,…

A: We will solve the following.

Q: The vertex of the parabola f(x) =(x+3) - 4 is а) (-3, -4) b) (3, -4) с) (3, 4) d) (-3, 4)

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Q: Write the equation of the parabola that has the same shape as f(x) = - 10x but with vertex (5,7) in…

A: f(x)=-10x2The new parabola has vertex (5,7)

Q: Find the coordinates of the vertex and the equation of the line of symmetry for each of the…

A: Given equation of parabola is fx=x2+10x-3. To find the coordinates of the vertex and equation of the…

Q: t is the equation of this parabola?

A: Given that, A  parabola has a vertex of (3,-2) and a y-intercept of 7.

Q: Find an equation for the indicated half of the parabola.Right half of (x + 1)2 = y - 4

A: (x+1)2=y-4

Q: Find the x intercepts and the coordinates of the vertex for the parabola y = x^2 + 4x -21. If there…

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Q: Which of the following equations represents a parabola with a horizontal axis of symmetry, vertex at…

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Q: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x²-8x+7. If there is…

A: The given equation is;  y=x2-8x+7.

Q: The vertex of the parabola given by the equation x2 = 20 y is O (0,0) O (4,5) O (0,5) O (4,0)

A: Vertex of the parabola

Q: Determine the equation of the parabola graphed below. 4 3 1 -> 1 2 3 5 7 4.

A: Given: Parabola graph is given.   Vertax (h,k) : ( 4 , 1)     Point : ( 3 , 2)

Q: Write the equation of the parabola that has the same shape as f(x) = - 10x but with vertex (5,7) in…

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Q: For the parabola y=-4(x+1)^2 - 3, the range is...?

A: For  y=ax2+bx+c  with vertex      (x1  y1)

Q: Determine the equation of the parabola whose graph is given below. -7-6-5-4- F 432DE 2 1 6 2 3 4 5 6

A: This question is based on general equation of parabola.

Q: Find an equation for the parabola shown in the figure.

A: We have given Vertex: 1, 0 Focus:6, 0   The given graph is symmetric about x-axis. Equation of the…

Q: If the vertex of the parabola f (x)= x² +bx+c is at (7, -4), find b and c. (Note: a = 1).

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Q: Find the equation of the parabola having the origin as its vertex, the y axis as its axis, and…

A: The equations  of the parabola whose vertex is at the origin and its axis is about y axis are…

Q: Find an equation for the parabola shown in the figure.

A: Consider the provided graph,

Q: Write the equation of the parabola that has the same shape as f(x) = - 9x but with vertex (2,7) in…

A: Given, y=g(x)= -9x² Therefore, a=-9

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: Write an equation for a parabola that is congruent to the graph of y = x2, opens downward, and has…

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Q: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x+4x-5. If there is…

A: The given parabola is: y=x2+4x-5...(1)

Q: Find the vertex and all of the intercepts for the following parabola: f(x) =-3(x+9)2 +27

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Q: A parabola is modeled with the equation x2 – 6x + 4y – 19 = 0. Which is the domain and range of the…

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Q: Find an equation for the parabola shown in the figure.

A: Given: The focus F-2,1 and directrix x=3 of the parabola, To find: The equation of the parabola.

Q: Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an…

A: We will find out the required value.

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

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Q: Find the coordinates of the vertex and the equation of the line of symmetry for each of the…

A: We have to find the coordinates of the vertex and the equation of the line of symmetry for each of…

Q: The vertex of the parabola given by the equation x2 = 20 y is (0,0) O (4,5) O (0,5) (4,0)

A: Kindly post other question as separate one.

Q: d. Find the equation of the vertical parabola that passes through the points: A = (6, 1), B = (-2,…

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Q: Find an equation of the parabola that satisfies the given conditions.Vertex V(1, -2), Focus F(1, 0)

A: Given that - Vertex V = 1,-2Focus F = 1, 0We see that x coordinate is same here that means, focus…

Q: Write the equation of the parabola that has the same shape as f(x) = - 4x but with vertex (7,3) in…

A: The solution is as shown below

Q: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x´-8x+12. If there is…

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