Find the Equation of a Quadratic (Parabola) Given 3 Points y=a^2+bx+c (0,0), (-3,3), (3,3) Also, What is the axes of symmetry for your parabola? Write its equation.  Does your parabola have a maximum or a minimum? What is the value of this extremum?

Q: Nhat is the equation of the parabola containing the points (2, 2), (4,-8), and (-2, –14)? O y = - 4x…

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Q: Find x-intercepts of the parabola y= -2x² + 3x + 3 (Round your answers to two decimal places.) Write…

A: Given: y=-2x2+3x+3   As we know that: To calculate the x-intercept, we need to solve for x after…

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: 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: The equation of the parabola culminating at P (1,4) and through (3,0) is f(x)= ax^2+bx+c, so the…

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Q: Consider the parabola y=ax^2+bx+c, where a, b, and c are constants. (a) Determine the vertex form…

A: (a) Vertex Form of the Parabola:The vertex form of the parabola  is:where (h, k) is the vertex of…

Q: create a unique parabola for the pattern  fx=(x-a)(x-b), integers cannot be one or zero for a and b…

A: We have to create a unique parabola for the pattern  f(x)=(x-a)(x-b).

Q: Write an equation for the quadratic graphed below x-intercepts: (-3,0) and (1,0). y-intercept: (0,1)…

A: Let the equation of the curve is  y = ax2 + bx + c ..... (1) The points through curve passes (-3,…

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 equation of the axis of symmetry of the parabola given by y= x^2 - 4 - 45 Explaining your…

A: For a quadratic equation with standard form as y=ax2+bx+c, the axis of symmetry is x=-b2a.

Q: Identify the equation of a parabola with vertex(0,0)(0,0) and focus (0,2)

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Q: y = 3(x+4/3)^2 - 2 How can I determine the x and y intercepts for this parabola?

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Q: Write an equation (any form) for the quadratic graphed below 4 -5 4 3 -2 -1 2 3 4 -2 -3 -4- y =

A: Consider the given graph

Q: =ar, easy to read sandth

A: We will find the coordinates.

Q: Find the points of intersection of the graphs of the equations. x2 + y = 17 -2x + y = 14 (x, y)…

A: Given  x2 + y = 17     (i) -2x + y  = 14 ⇒ y = 14+2x       (ii) Putting the value of y in equation…