Transformation Functions

[d9esco]

I dont get it. I thought adding the 1/2 to the coefficient would make the red function more narrow. How would I solve this without having multiple choice options.

 

[stapel]

I dont get it. I thought adding the 1/2 to the coefficient would make the red function more narrow. How would I solve this without having multiple choice options.

Why would making the y-values smaller (for any given x-value) -- so the values are growing more slowly -- make the function grow faster? (If you're not sure what I mean by this, try picking y-values for f(x), and then multiplying those values by one-half. Are the new dots higher or lower? So is the new graph growing faster or slower?)