Question

write the function with the given transformation from the given parent function.
$f(x) = \sqrt3{x}$

• reflected across the x-axis
• vertically stretched by a factor of 5
• shifted up 3

$f(x) = \boxed{\sqrt3{\boxed{}}}$

Explanation:

Step1: Reflect across x-axis

$-\sqrt[3]{x}$

Step2: Vertically stretch by 5

$-5\sqrt[3]{x}$

Step3: Shift up by 3

$-5\sqrt[3]{x} + 3$

Answer:

$f(x) = -5\sqrt[3]{x} + 3$