the graph of $f(x) = -2x^3$ is given below. write the equation of a function $g(x)$ which would shift the…
the graph of $f(x) = -2x^3$ is given below. write the equation of a function $g(x)$ which would shift the graph of $f(x)$ left 5 units and up 1 unit.
Answer
Explanation:
Step1: Shift left 5 units
Replace $x$ with $x+5$ in $f(x)$: $h(x) = -2(x+5)^3$
Step2: Shift up 1 unit
Add 1 to $h(x)$: $g(x) = -2(x+5)^3 + 1$
Answer:
$g(x) = -2(x+5)^3 + 1$