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

Q: Find the parabola of the form y=ax^2+b which best fits the points (1,0), (4,4), (6,8) by minimizing…

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Q: Need help with this calculus question, please do all. Thanks.

A: We are given a 3rd degree polynomial, of which we need to integrate from -2 to 2. Also, we are…

Q: 2k, {}) 4k

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Q: Write an equation of the parabola that has the same shape as the graph of f(X)=3^2, but with a (7,6)…

A: The general equation of a parabola in vertex form is y=ax-h2+k. It is given that the required…

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y =1- x².…

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Q: Use the method of completing the square to transform the quadratic equation into the equation form…

A: First Make the coefficient of x^2 unity and then add and subtract the square of 1/2 of coefficient…

Q: Find the center, transverse axis, vertices, foci, and the asymptote of the y^2-x^2-4x+4y-1=0

A: Steps and explanations are as follows: In case of any doubt, please let me know. Thank you.

Q: identify the vertex axis of symmetry and min/max value and domain and range y=1/3(x+2)^2-1

A: The given function is in the form of a quadratic function, y = a(x - h)^2 + k, where (h, k) is the…

Q: Determine the axis of symmetry of the graph of the following parabola. f(x)=5^x2+190x+19

A: To determine the axis of symmetry of the graph of the following parabola.

Q: A student is asked to graph any cubic function, and then determine the equation of the function in…

A: A cubic function has 3 roots. Either one root is real and remaining two roots are imaginary or all…

Q: A rectangle is inscribed in an ellipse given by the equation x^2/49+y^2/196=1. If (x,y) is a vertex…

A: NOTE: Refresh your page if you can't see any equations. . solve this equation for y the point…

Q: Find the area of the largest rectangle with one corner at the origin, the opposite corner in the…

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Q: Find the parabola of the form y=ax^2+b which best fits the points (1,0), (4,4), (6,8) by minimizing…

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Q: Determine all the points, nearest to the point (0.0.2) on the following graph: 3x^2 + 2y^2 -z = 0

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Q: The graph of f(x)=-2x^2+8x+12 is a parabola. Round any decimal answers to 3 decimal places.  a)…

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Q: Write the equation of a parabola that has a vertex at the point (5, -4).

A: Given, Vertex=(h,k)=(5,-4)

Q: what is the opening of the parabola? x^2-y+4=0    a. right b. left c. upward d. downward

A: Given: y=x2+4 We know that equation of parabolay=ax2+bx+c, open upward if a>0 and open downward…

Q: Which equation is best to use to determine the zeros of the graph of y = 4z² – 8z – 5? - O (2r +…

A: Simply factories the given expression and equate to zero.

Q: Sketch the graph of the quadratic functions and find the following: f(x)=-x^2-6x-4 (a) Vertex (b)…

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Q: Arrange the parabolas represented by the equations according to the positions of their foci on the…

A: The standard form of a parabola is  (x – h)2 = a(y – k) where (h, k) is the vertex.

Q: An athlete whose event is the shot put releases a shot. When the shot whose path is shown by the…

A: Given- An athlete whose event is the shot put releases a shot. When the shot whose path is shown by…

Q: Graph the following equation.explicitly state the equation of the asympttote, the x intercept, the y…

A: Given equations: y=-313-x+6 y=-12log2x+4-2

Q: find the coordinates of the vertex of the parabola y=x^2-4x+1 by using the maxima and minima since…

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