Question

A quadratic function in the form of y=ax2+bx+c if c is repeatedly increased by one to create new functions how are the graphs of the functions the same or different

Answer 1

If only c is increased to create new functions, Nothing else would change in the size of the parabola and it still keeps its general shape, eccentricity, and direction. What does change is it undergoes positive vertical translation. Meaning it goes up on the graph as c gets bigger.