What is the order, from narrowest to widest graph, of the quadratic functions f(x) = –10x², f(x) = 2x², f(x) = 0.5x²
The order from narrowest to widest graph of the given quadratic functions is:
1. f(x) = –10x²
2. f(x) = 2x²
3. f(x) = 0.5x²
This is because the coefficient of x² in each function determines the width of the parabola. The larger the absolute value of the coefficient, the narrower the parabola.