Which of the quadratic functions has the widest graph? y = 1/4x^2 or y = 0.6x^2 or y = 1/5x^2 or y = 4x^2
Answer:
All these functions are obtained from transforming a function y=x2. When we multiply a function by a scalar c it is stretched vertically when c>1 and compressed when c<1.
This means that the function is widest for the smallest scalar c.
140.6154=0.25=0.6=0.2=4
So, quadratic function y=15x2 has the widest graph.