Find the equation of the parabola that goes through the points (-2,16), (-1,6), and (2, 12).

find b and c so that y= -20x^2+bx+c has a vertex (-6,1). B=? C=?     Hand written solution needed

Write the equation of the parabolax^2+10x+20y+45=0in the standard form for parabolas

State the vertex of the parabola whose equation is (y-9)^2=-4(x-2)

Determine the vertex of the parabola defined by the quadratic equation y = x^2 - 4x + 3.

Write the equation of two different parabolas that have a vertex of (3,-1), and that pass through the point (0,2)

Find the equation of the parabola whose axis is vertical and passes through (-1,0), (5,0) and (1,8). x^2-4x+y-5-0 O x^2-4x+y-1-0 O x^2-4x+y+5=0 O x^2-4x+y+1=0 O None of these

Find the point on the ellipse x² + 6y² + 3xy = 40 with the greatest x-coordinate. (Use decimal notation and fractions where needed. Give your answer as the coordinates of a point in the form (*,*).) (x, y) =

Identify the x and y-intercept(s) for the parabola with the equation y = 3x² + 3x - 6. Select one: O a. (-1,0) (0, -6) (2,0) O b. No x-intercepts and (0, - 6) O c. (-6, 0) (0, - 2) (0, 1) O d. (-2, 0) (1, 0) (0, -6)