Q:

# ​Write the equation for f(x) = x^3 after being translated to the left 6 units and (x)f = x3 up 4 units.

Accepted Solution

A:
The equation for f(x) = x³ after being translated to the left 6 units is f(x + 6) = (x + 6)³The equation for f(x) = x³ after being translated up 4 units isf(x) + 4 = x³ + 4The equation for f(x) = x³ after being translated to left 6 units and up 4 units is f(x + 6) + 4 = (x + 6)³ + 4Step-by-step explanation:Let us revise the translationIf the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)  If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)  If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k  If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k  ∵ f(x) = x³∵ f(x) is translated left 6 units- By using the second rule above add x by 6∴ The equation will be f(x + 6)∴ f(x + 6) = (x + 6)³∵ f(x) = x³∵ f(x) is translated up 4 units- By using the third rule above add f(x) by 4∴ The equation will be f(x) + 4∴ f(x) + 4 = x³ + 4The equation for f(x) = x³ after being translated to the left 6 units is f(x + 6) = (x + 6)³The equation for f(x) = x³ after being translated up 4 units isf(x) + 4 = x³ + 4The equation for f(x) = x³ after being translated to left 6 units and up 4 units is f(x + 6) + 4 = (x + 6)³ + 4Learn more:You can learn more about transformation in brainly.com/question/2415963#LearnwithBrainly