WebFree Parabola calculator - Calculate parabola foci, vertices, axis and directrix step-by-step ... Equations Inequalities System of Equations System of Inequalities Basic Operations … WebFeb 14, 2024 · Step 1: Determine whether the parabola opens to the left or to the right. Step 2: Find the axis of symmetry. Step 3: Find the vertex. Step 4: Find the x -intercept. Find the point symmetric to the x -intercept across the axis of symmetry. Step 5: Find the y …
Find the standard form of the equation of the parabola with ... - Wyzant
WebJan 11, 2024 · the parabola equation is x-2 = 1/12) (y+8)^2 b) the directrix is below the vertex, so this parabola opens upwards. Focus is (1,13) equidistant with the direction to the vertex y-h= a (x-k)^2 with (k,h) = (1,4) y-4 = a (x-1)^2 find a point on the parabola horizontally from the focus, 9 units away (10,13) plug that point in to solve for 1 13-4 =81a Web5 rows · The parabola equation is simplest if the vertex is at the origin and the axis of symmetry is ... granite house numbers
Algebra - Parabolas - Lamar University
WebTranscribed Image Text: Find the standard equation of the parabola opening to the left whose axis contains the major axis of the ellipse 4x2 + 9y² = 144, whose focus is the center of the ellipse, and which passes through the co-vertices of this ellipse. Expert Solution Want to see the full answer? Check out a sample Q&A here See Solution WebWhen the axis of symmetry is along the x-axis, the parabola opens to the right if the coefficient of the x is positive and opens to the left if the coefficient of x is negative. When the axis of symmetry is along the y-axis, the parabola opens upwards if the coefficient of y is positive and opens downwards if the coefficient of y is negative. WebQuestion: Given the equation of a parabola as 12(y-5)=(x+3)^2, determine the following: Direction of opening: Answer( left, right, up or down) The coordinates of the vertex. Answer as an ordered pair: (h,k) The coordinates of the focus. Answer as an ordered pair: (x,y) The equation of the directrix. Answer in the given format: y=b chinn enabling parents with support