Question

Use complete sentences to explain how you would use graphing technology to find the solutions of 0 = −x2 + 2.5x + 1. What do the solutions of 0 = −x2 + 2.5x + 1 represent on the graph of the equation

Answer 1

the intersection(s) of a graph drawn in a cartesian plane is/are the solution(s) of that graph. so if the graph intersected the x-axis at two points those intersecting points are your solutions. if the graph has not touched the x-axis it means it has no solution. for example in that equation you gave for example it touched the x-axis at ponts (-5,0) and (3,0) the values of x's are -5 and 3

for a linear equation you will intersect the x-axis at most by 1 point
quadratic= 2 pts
cubic= 3 pts
quartic= 4 pts
etc...
...
.