What is the vertex form of y=-2x^2-8x+10? give the coordinates of the vertex, state if there is a minimum or maximum, and find the equation of the line of symmetry. this is for algebra 2 regular.

First off, let's notice that the squared variable is the "x", that means is a vertically opening parabola.

notice the leading term's coefficient, is -2, is negative, that means the parabola is opening downwards, is facing down, so it goes up up up, reaches the U-turn and then down down down, is a "hump" or a maximum point.



and the line of symmetry, well is a vertical parabola, mirroring itself at the line x = -2, which is the x-coordinate of the vertex.