Transformations

Question

The function y=6x^8 - 3x^7 + 5 is reflected in the y-axis, then determine the equation of the new function

Answer 1

To reflect in the y-axis, replace x by -x.

y = 6(-x)⁸ - 3(-x)⁷ + 5

Simplify to get y = 6x⁸ + 3x⁷ + 5

Answer 2

Reflection across the y-axis means to plug in "-x" into your equation. The only thing that changes is the "-3x⁷" since raising "-x" to an odd power will result in a negative (and combined with the "-3" that is already there results in a positive).

So the new equation is y = 6x⁸ + 3x⁷ + 5