Question

Which quadratic function represents the widest parabola? A) f(x) = 5x2 B) f(x) = 1 5 x2 C) f(x) = 2 3 x2 D) f(x) = 3 2 x2

Answer 1

Answer:

Step-by-step explanation:

if you use a graphing calculator you we see that the smaller the leading coeffient the wider the parabola.

or use a table and plug in values for y for each x

  y =        x²          5x²            15x²  

x = 1         1             5               15

x = 2        4           20              60

       y is larger for a larger  ax²   a coeffient  

       so the is more narrow for a higher coeffient

f(x) = 5x²  has the smallest coeffient so the widest parabola