Which of the quadratic functions has the narrowest graph? y = 1/2x^2 or y = 4x^2 or y = 1/7x^2 or y = 2x^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 narrowest for the greatest scalar c.
So, quadratic function y=4x2 has the narrowest graph.