Question

Consider the function f(x) = x3 + 0.5x – 1. Marjan needs to graph f(x) and g(x) = –f(x) – 3. His graphs are shown below. Which statement describes whether Marjan’s graphs are correct? No, the reflection should be over the x-axis, not the y-axis. No, the reflection should be over the y-axis, not the x-axis. Yes, g(x) is a reflection of f(x) over the y-axis followed by a translation of 3 units down. Yes, g(x) is a reflection of f(x) over the x-axis followed by a translation of 3 units down.

Answer 1

Last option

Explanation:

Or Yes, g(x) is a reflection of f(x) over the X-AXIS followed by a translation of 3 units down.

Answer 2

Yes, g(x) is a reflection of f(x) over the x-axis followed by a translation of 3 units down.

Explanation:

y = −f(x) Reflects it about x-axis

y = f(x) + C C < 0 moves it down