Find the equation of the parabola whose axis is vertical and passes through (-1,0), (5,0) and (1,8).

Q: find the quadratic equation that goes through the points (2,-4), (3,-4), (0,2)

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Q: Express 4x^2 + y^2 + 9z^2 + 8x − 4y − 18z − 19 = 0 to its standard form. Also, sketch and name the…

A: Given equation is: 4x2+y2+9z2+8x-4y-18z-19=0 Rearranging the terms we get,…

Q: What are the coordinates of the vertex for the given equation in standard form? y=x^2+6x+5

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Q: A parabola is given by the equation y = x^2 - 4x + 6. Find k so the line of equation y = 2x - k does…

A: We have to find the value of k for which the line intersect the parabola at two distinct points. To…

Q: write the equation of the quadraticfunction whose graph is a parabola containing the givenpoints

A: Let the equation of the quadratic function be: fx=y=ax2+bx+c This function passes through the points…

Q: What is the equation of the parabola that has a max of (2,3), and passes through point (, -1)?

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Q: the graph is perpendicular to the graph of 3x-2y=5 and passes through the point whose coordinates…

A: Given the equation of line:

Q: Find the equation of the line passing through the point (2,2) and cutting off intercepts on the axes…

A: The equation of a line in the intercept form is xa+yb=1this line passes through…

Q: Determine an equation to represent the following parabola in intercept form

A: This question is about finding equation of curve by its points

Q: Determine an equation for the parabola whose vertex is (- 2, 3) and goes through the point (4, - 6)

A: Given (h, k)=(-2, 3) and parabola passes through (4, -6).

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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Q: What is an equation of the line that passes through the points (6, 1) and (7, 2)? Put your answer in…

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Q: Find an equation for the set of  all possible vertex points of a parabola that has an x-intercept at…

A: Consider that the origin (0, 0) is shifted to a point (h, k). Thus, any point (x, y) will be shifted…