Question

Examine the following graph, where the function P(x) is dilated to get I(x). P of x is a parabola with vertex at (0, negative 5). I of x is a parabola with vertex at (0, negative 1). © 2018 StrongMind. Created using GeoGebra. Which answer gives the correct transformation of P(x) to get to I(x)

Answer 1

We are given the graph of functions P(x) and I(x). Both graphs are parabolas. When a parabola is multiplied by a number that is smaller than 1 then it becomes wider open. WE notice that the parabola associated with I(x) is wider than the parabola for P(x) therefore, the only possible answer is that:

$I(x)=\frac{1}{5}P(x)$