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

Q: What point on the parabola y=3−x2 is closest to the point ​(3​,3​)?

A: Basic differentiation is required.

Q: Find the coordinates of the vertex of the parabola y = x^2 - 4x + 1 using derivatives O (2, -3) O…

A: To find the vertex of the parabola by using derivatives

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

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Q: Suppose a and b are positive numbers. Sketch the parabolas y2 = 4a2 - 4ax      and         y2 = 4b2…

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Q: A parabola is the set of all points in the plane that are and a equidistant from a fixed point…

A: Given: A parabola is the set of all points in the plane that are equidistant from a fixed point…

Q: Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other…

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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: What is the general equation of a parabola that opens upward with V(-1,2)?

A: The general equation of the parabola opening upwards is x-h2=4py-k where (h,k) is vertex. here…

Q: How can I find a quadratic equation, that's in standard form, with a, b, and c all in terms of a?…

A: ax2+bx+c=0 be a quadratic equation let f(x)=ax2+bx+c, and we have given two points (1,1) and (3,7)…

Q: ,2 The vertex of the parabola of f(x)=x²+x is

A: Equation of the parabola :y=a(x-h)2+kwhere (h,k) = vertex of the parabola

Q: The vertex of the parabola f(z) = + 6z + 7 is O (-3,-2) O (-6,-18) O (-6, -2) O (-3,5) O (-9,-2)

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

Q: What is the equation of the parabola with axis parallel to the x-axis, whose vertex is at (-1,7) and…

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Q: Find the equation of the parabola and put it in the form f(x)= ax^2 +bx+c  Given:  vertex: (7, -4)…

A: Explained below

Q: Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other…

A: Topic = Application of Derivative

Q: Any point on the parabola can be labeled (x, y), as shown. 4 3 2 (*, y) ¢ -6 -5 -4 -3 2 - 1 2 3 4 5…

A: According to figure equation of parabola in standered form X2=4bYnew equation of…

Q: A point moves on the parabola y2 = 8 in such a way that the rate of change of the ordinate is always…

A: The given parabolic curve is, y2 = 8x    ...(1)   It is given that the rate of change of ordinate is…

Q: A rectangle is inscribed in the parabola y=8– x - such that one side lies on the x-axis and two…

A: Answer

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

A: Given:- What is the equation of the directrix of the parabola having a vertex at (6,0), passing…

Q: 3. Find the vertex form of the parabola tnat passes through the point (-1,2) and has a vertex…

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Q: Give 3 points that lie on the parabola y=x^2-5x-2

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Q: A rectangle is inscribed with its base on the xx-axis and its upper corners on the parabola y=2−x^2.…

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Q: Identify the x-intercept(s) of this parabola. 10 8- 6- 4- -6 -2 2. 6 -4 O (3. 0)

A: x-intercept is the point where the graph crosses the x-axis.

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: Find the equation of the parabola with vertex (−3,1)(−3,1) and yy-intercept 22(or (0,2)(0,2)).

A: topic - equation of a parabola

Q: The parabola passes through the points (−3/2, – 1), (1, 5) and vertex is at (0, 4) with a horizontal…

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Q: Find the orthogonal trajectories of the family of ellipses with centers at (0, 0) and two vertices…

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Q: A rectangle has its two lower corners on the xx-axis and its two upper corners on the parabola…

A: Topic:- application of derivatives

Q: Prove analytically that the sum of the squares of the four sides of a parallelogram is equal to the…

A: Apollonius's theorem   for triangle ABC with M being the midpoint of BC, the following equation…

Q: If a parabola y=ax2+ky=ax2+k has vertex (0,−1)(0,−1) and passes through the point (4,2)(4,2). What…

A: A Parabola y=ax2+k       ...(1) has Vertex (0,-1) and Passes through the Point (4,2)

Q: is there a parabola that passes thru the points (1,2)(2,9)(3,19)(-1,2)

A: We are solving one question of it if you you want the solution of another question then submit the…

Q: Find the equation of a parabola that has a vertex of (-2, -1) and contains the point (0, 3).…

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Q: Find the intersection of the planes 2x + 4y - 6z = -8 and 2x + 5y - 7z = -9.

A: We have to find the intersection of the given planes.

Q: What is the equation of the quadratic function whose graph is a parabola which opens to the left,…

A: Consider the given: Vertex = 0,0Focus = −2,0End-points of the latus rectum = −2,4 and…

Q: Find an equation of a plane containing the three points (0, -2, 4), (3, -3, 2), (3, -2, 4) in which…

A: The equation is  :-

Q: 1. Determine the equation of the parabola whose vertex is at the point (-1, –1) and whose directrix…

A: We have to determine the equation of the parabola whose vertex is at the point (-1,-1) and whose…

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 an equation of the plane containing the points (0,0, 2), (2, 4, 1) and (–2, 3, 3).

A: Equation of a plane containing 3 points is x-x1y-y1z-z1x2-x1y2-y1z2-z1x3-x1y3-y1z3-z1=0

Q: What is the equation of the parabola with vertex (1, –11) and that passes through (–4, 64)?

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Q: What point on the parabola y = 3- x² is closest to the point (3,3)? The point on the parabola y = 3…

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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: Find the equation of a parabola that has a vertex of (2, -4) and contains the point (1, -7).…

A: Given  Vertex of parabola (2,-4)  And contains the points (1,-7)

Q: Show that,the area bounded by the parabola y^2 =4ax and a double ordinate is two third of the…

A: Let the parabola be y2=4ax Also let x =b be any double ordinate.Since the curve is symmetric about…

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 9 − x…

A: Given A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y =…

Q: The vertex of the parabola f(z) = z² + 18z + 7 is %3D о (-18, -54) O (-9,-67) о (-9, -74) о (-18,…

A: The given parabola equation is f(x) = x2 + 18x + 7

Q: A parabola is the set of all points in the plane that areequidistant from a fixed point called the…

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Q: If a point moves on a plane is such a way that the sum of its distances from two fixed points on the…

A: Let, x,y be a point on the locus.p,q and r,s be two points.distance between x,y and p,q…

Q: Determine an equation of the parabola with the vertex at (-2, 5) and passes through the point (-3,…

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Q: A rectangle has its base on the x-axis and its upper two vertices on the parabola y = 12 - x2. What…

A: First draw the situation roughly

Q: Give an example of a parabola that has a maximum at the point (-1, 2).

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