write the equation -desired transformation

Question

Write the equation that results in the desired transformation. The absolute value ​function, vertically stretched by a factor of 3.0​, and reflected across the x​-axis.

y= ________

Answer 1

Hey Di. To vertically stretch a function f by a positive constant c, we simply write cf. To reflect across the x-axis, we multiply by -1. Thus for your question we transform |x| by multiplying by -3. Thus we get

y = -3|x|= -|3x|.

Hope this helps!