Question

Consider the functions. How do the graphs of these function compare to one another? (In picture)

Answer 1

Refer to the Graph above. Hope this helps you, and, Happy New Year!

Answer 2

Answer:  True, False, True

Step-by-step explanation:

To determine steepness, compare the coefficients of each function:

f(x) = 4x²      coefficient is: 4

g(x) = $\dfrac{15}{4}x^2$   coefficient is: 4.75

h(x) = $\dfrac{4}{15}x^2$   coefficient is: 0.27

f(x)  ??? h(x)

 4    >  0.27

f(x) is steeper than h(x)

               h(x) ??? g(x)

               0.27 <   4.75

               h(x) is LESS steep than g(x)

                                              g(x) ??? f(x)

                                              4.75 >   4

                                              g(x) is steeper than f(x)