Question

In Exercises 11-16, write a function g whose graph represents the indicated transformation of the graph of f. Use a graphing calculator to check your answer. (See Example 2) 11. f(x) =3 + x-11; reflection in the y-axis

Answer 1

When a function is reflected across the x-axis, the y-coordinate is transformed into its opposite sign. Basically you move the graph of the function across the x-axis to its mirror reflection, hence for the function f(x) = -5x + 2 the reflection across the x-axis is;

f(g) = -5x - 2

For the function f(x) = -3 + x - 11, the reflection across the y-axis is;

f(g) = - x - 14