Reflection Transformation of a Quadratic Function
Consider the function \(f(x) = x^2 – 4x + 3\). (a) Write the algebraic expression for its reflection across the x-axis. (b) Sketch the graph of the reflected function, describing its key features including vertex, axis of symmetry, and intercepts.
Part a
Write the algebraic expression for the reflection of \(f(x) = x^2 – 4x + 3\) across the x-axis.