Find the standard form of the equation of the parabola with the given characteristic(s) and vertex at the origin. Horizontal axis and passes through the point  (9, −4)

Q: Write the standard form of the equation of the parabola with the given directrix and the vertex at…

A: Topic-parabola

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: 5. Find the equation of the parabola in standard form with a directrix located 5 units below the…

A: equation of the parabola  x-h2=4ay-k

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

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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: the equation for the parabola that has its vertex at the origin and has a focus at (0, 3.6).

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Q: A parabola is defined by the equation y=x2+2x+3. Write equations of the tangents to the parabola…

A: Given the equation of parabola:

Q: A bowl is designed so that it has a vertical cross-section in the shape of a parabola. The width of…

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

A: Here the vertex of the parabola is at origin. Focus of the parabola is (9/2, 0). Since the focus is…

Q: Find an equation for the indicated half of the parabola.Lower half of (y + 1)2 = x + 3

A: Given equation is y+12=x+3.

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

A: The standard equation of the parabola is x=14f−hy−k2+h where, h,k is the vertex and f,k is the…

Q: Find the equation of the axis of symmetry of the following parabola algebraically y = -x + 8x

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

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Q: A parabola has its vertex at (2,-3) and it's y-intercept at 5. Write an equation of the parabola in…

A: Vertex (2,-3) y intercept at 5 y=a(x-h)2+k

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

A: First we have to calculate distance from directix to vertex. I.e P Then insert values of center and…

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: Plot the given parabola on the axes. Plot the roots, the vertex and two other points.

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Q: 1. A parabola has equation -12x + y? – 24 = 0. Write the equation in standard form.

A: The equation of the parabola is, - 12x + y² - 24 = 0 So, y² = 12x + 24

Q: Find the standard form of the equation of the parabola with the given and vertex at the origin.…

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

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

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

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

Q: 4. Determine the equation of the following. a) The parabola with vertex (-6, -2) and passes through…

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

A: We use the general equation of left opening parabola y2=-4Ax and solve it.

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: Find the standard form of the equation of the parabola. Vertex at the origin, focus at (0, 8)

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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:

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

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Q: Find the standard form of the equation of the parabola with the given characteristics, Axis is…

A: To find the standard equation of parabola  Given Axis is parallel to y-axis Parabola passes through…

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: II. Find an equation of the parabola graphed. 2.

A: The equation of the parabola: - A parabola is a curve equation in which a point on the curve is…

Q: A bridge is built in the shape of a parabolic arch. The bridge arch has a span of 182 feet and a…

A: To set up the equation for the parabola (modelling the bridge) and solve the numerical problem by…

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

A: Given: A parabola with vertex at V-2, 3 and passes through the point P2, 2.

Q: equation for the parabola t

A: The vertex and focus is given and we have to find an equation for the parabola. vertex at the origin…

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

A: Consider the provided graph,

Q: Find the standard form of the equation of the parabola with the given characteristics and vertex at…

A: given,      parabola with the given characteristics and vertex at the origin. Focus: (0, 1/3)

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

A:

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: I am needing assistance with the attached equation.

A: Vertex=(0,0) and focus =(-7/2 , 0) This means the focus is on the left side of the vertex.  This…

Q: I am needing assistance with the attached equation.

A: Vertex= (0,0) and directrix = x=-4 This means directrix is on the left of the vertex.  So, this…

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

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Q: 5. Find the equation of the parabola in standard form with a directrix located 5 units below the…

A: The standard equation of the parabola is (x-h)2=4a(y=k) Where (h,k) is the vertex Here h=3, k=-2…

Q: Find an equation of the parabola (in general form) given the following condition: Vertex (5, 2),…

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Q: Given the graph of the parabola. Find the equation of the parabola by using three points (4,0),…

A: The given parabola is a vertical Parabola. General form of  equation of a vertical Parabola is ,…

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

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Q: Find an equation for the parabola that has its vertex at the origin and has a directric at x=1/29

A: We want to find out the equation of the parabola.

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

A: Finding the equation of parabola