(a) What are the coordinates of the vertex of the parabola? Use of the grid below is optional. (b) Write the equation of the parabola, f(x), in vertex form.

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

A:

Q: The equation of the Family of Parabolas with vertex (h,-3) and it opens to the left is

A: We use the equation of the parabola when open the left and vertex are (h,k) is (y-k)2=4a(x-h)

Q: 9. Sketch the parabola y =-x +8x-12, show all the intercepts, the axis symmetry and the vertex

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Q: The vertex of a parabola is (0,0) and the focus is (30) . What is the equation of the parabola? A.…

A: Given that vextex of parabola is 0,0focus is 18,0To find :equation of parabola.Solution :

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: Find the vertex, focus, and directrix of the parabola x2 − 2x − 4y − 7 = 0 , and sketch its graph.

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Q: Find the vertex, focus, and directrix of the parabola x2 - 6x - 12y + 9 = 0.

A: Write the given parabola in standard form by completing square

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

A:

Q: (b) Find an equation for the parabola that has axis x = -1 and passes [3] through the points (4,5)…

A: Directrix is a line which together with a point called the focus defines the set of points that form…

Q: What is the vertex of the parabola (y - 1)2 = 16x?

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Q: The equation of a parabola is y = -x 2 -4x + 3 . Give the equation of the axis of symmetry of the…

A:

Q: Find the equation for the parabola that has its focus at The equation is: 19 (- 음.. 4 -7 and has…

A: Given: Parabola has its focus at -194,-7 and has directrix at x=354 To find equation of parabola.…

Q: Radio towers A and B, 200 kilometers apart, are situated along the coast, with A located due west of…

A: Radio towers A and B, 200 kilometers apart, are situated along the coast, with A located due west of…

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: The equation of a parabola is 12y = (x – 1)´ – 48 . Identify the vertex, focus, and directrix of the…

A: Parabola

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

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Q: Graph the parabola. y= - 3x²+ + 18x– 20 Plot five points on the parabola: the vertex, two points to…

A: To graph the parabola,y=-3x2+18x-20To plot five points on the parabola: the vertex, two points to…

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

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Q: 2. Graph the parabola given by the equation, put it into standard form, and identify the vertex,…

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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: Question1. Find the vertex of the parabola, y = f(x) = -3x2 + 6x + 3. %3D Inntationa for

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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: The equation of the axis of symmetry of a parabola is x 2. If the parabola intersects the x-axis at…

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Q: y = = -a? -x² + 6x – 2 y = 3 2х — 2 2л — 2 ou can move the parabola by dragging the dots.

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Q: the parabola x^2-4x-4y=0

A: we have to find the vertex , focus and directrix of the given parabola. x2-4x-4y=0

Q: The equation of a parabola is 12y=(x−1)2-48. Identify the vertex, focus, and directrix of the…

A: Topic:- geometry

Q: - The equation of the ellipse whose major axis is the latus rectum of the parabola v- 2)2 = 4(x – 3)…

A: We have to find the equation of the ellipse.

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

A: Consider the below image,

Q: (x-7)^2 = (y-1/2) general form of the parabola

A: topic -  parabola

Q: Solar cookers provide an alternative form of cooking in regions of the world where consistent…

A:

Q: The equation of the family of parabolas with vertex and focus on the x-axis where h and k are…

A:

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

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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…

A:

Q: y = 3x² + 6x – 5

A: Topic - vertex form of parabola y=3(x+1)2 -8

Q: 4) Find the vertex of the parabola y=-3 x-2 x +7 and sketch its graph.

A: Given y =-3x2 -2x+7    We have to find the vertex of parabola and sketch its graph

Q: Find the vertex and the axis of symmetry of the parabola given by the equation. y = −x2 + 8x − 18…

A: Provided equation of the parabola is given below.

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: 1. Describe an algebraic method for determining the x-intercepts, if any, of a parabola which…

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

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Q: Find the vertex and the axis of symmetry of the parabola given by the equation. y = −x2 + 4x − 6…

A: The given equation of parabola is,

Q: The focus of the parabola x2 =  8y is

A: I am going to find the focus of the parabola by comparing it with the standard form of parabola.

Q: Parabolas with axis parallel to the x-axis

A: Parabolas with axis parallel to the x-axis

Q: 5) Write the equation of the given parabola in VERTEX FORM.

A: Given that: Graph of a parabola.

Q: Given equation for parabola: 3x2+24x-12y=-108 a. What is the standard equation? (Express it in…

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Q: Determine the equation for the parabola from its graph. y Focus Vertex Axis of (-1, 1) (3, 1)…

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

Q: What is an equation of the axis of symmetry of the graph of the parabola y=2x^2+3x+5. A y=-3/2 B…

A: Option D Is correct answer

Q: 1. The r-coordinates of the vertex and the focus of a parabola are the same, but the y- coordinate…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: 3 (a) Express the equation of the parabola y' -8x-4y-20 0 in standard form. Hence, find the vertex,…

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Q: . The equation of the family of parabolas with vertex and focus on the x-axis where h and k are the…

A: This is a conic section problem

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.