Question

al 25-26 3.8 lets dance portfolio
a. first, the robot will jump straight up 4 units.
i. what type of transformation would this be (rotation, reflection, translation, stretch, or compression)?
ii. what would the new equation be (based on the original equation of $f(x)=x^3$)?
(2 points)

Explanation:

Step1: Identify transformation type

A vertical jump up is a translation.

Step2: Derive new equation

Vertical translation up 4 units adds 4 to $f(x)$.
<Expression>
$g(x) = f(x) + 4 = x^3 + 4$
</Expression>

Answer:

i. Translation
ii. $y = x^3 + 4$