# SOLUTION: The parabola with equation {{{y-3=(x-4)^2}}} has it's vertex at (4,3) and passes through (5,4). Find an equation of a different parabola with its vertex at (4,3)that passes through

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 Click here to see ALL problems on Quadratic-relations-and-conic-sections Question 138701: The parabola with equation has it's vertex at (4,3) and passes through (5,4). Find an equation of a different parabola with its vertex at (4,3)that passes through (5,4). Can't seem to figure this out. Do i just switch the x and y? ThanksAnswer by Edwin McCravy(8999)   (Show Source): You can put this solution on YOUR website!The parabola with equation has it's vertex at (4,3) and passes through (5,4). Find an equation of a different parabola with its vertex at (4,3)that passes through (5,4). Can't seem to figure this out. Do i just switch the x and y? ```Here's the graph of with the vertex (4,3) and the point (5,4). That is a parabola which opens upward. Let's sketch in one in green that would have that same vertex(4,3) and pass through that same point (5,4). It will have to open to the right. A parabola which open to the right or left has equation So we substitute (h,k) = (4,3) Now we know that since (x,y) = (5,4) is a point on the graph, that point must satisfy the equation: So Therefore the equartion is found by substituting into or Edwin```