order each group of quadratic functions from widest to narrowest graph, f(x) = 4x^2 f(x) = 2/3x^2 f(x) = 3x^2

Question

f(x) = 4x^2 f(x) = 2/3x^2 f(x) = 3x^2

 

i need these in order from widest to narrowest

Answer 1

The 'width' of a quadratic function can be determined from the coefficient in front of the variable. Coefficients greater than one will cause the graph to be thinner than the parent graph (f(x)=x²), and those less than one cause it to be wider than the parent graph. So, in order from widest to narrowest:

 

f(x)=(2/3)x²

f(x)=3x²

f(x)=4x²