The discussion focuses on the behavior of the linear function P(x) = 3x + 4 under the transformation y = |P(x)|. When y ≥ 0, the graph remains unchanged as it is above the x-axis, reflecting the positive values of P(x). However, when y < 0, the graph is reflected across the x-axis, converting negative values of P(x) into positive values, thus creating a V-shaped graph. This transformation effectively ensures that all output values of y are non-negative.
PREREQUISITESStudents and educators in mathematics, particularly those focusing on algebra and graphing techniques, as well as anyone interested in understanding function transformations.
What is |3|?twicesana said:QS: Explain how the graph P(x)=3x+4 behaves under the transformation y=|P(x)| when:
a) y\ge0
b) y<0
I'm not sure how to explain this in words.Thank You!