Vertex (-5,5) point (-3,17) Equation for the parabola with the given vertex that passes through the given point. I am stumped! Please help
well, look at this you have a quadratic of the form ax^2+bx+c so you have two points so plug in y and x in for those two points: 5=25a-5b+c and 17=9a-3b+c but they also tell you that (-5, 5) is the vertex which means that there, the solution only has one root; meaning that the x coordinate is equal to -b/2a so then you have -5=-b/2a i think you should be able to solve for this now. perhapsably.
Great. This is always the most insightful way to write the equation of a parabola. As a check, you can easily see the vertex is at (-5,5). Putting x=-3 gives y=3(2^2)+5=17.