Question

ce] PreCal Unit 3 Exam.pdf Which statement explains the effect on the graph of f(x) = x5 when f(x) undergoes the transformations -0.5f(x - 3) + 1? A The graph of f(x) is shifted vertically up 1 unit, shifted horizontally to the right 3 units, vertically compressed by a factor of 0.5, and reflected across the x-axis. B The graph of f(x) is shifted vertically up 1 unit, shifted horizontally to the left 3 units, vertically compressed by a factor of 0.5, and reflected across the x-axis. с The graph of f(x) is shifted vertically up 1 unit, shifted horizontally to the right 3 units, vertically stretched by a factor of 2, and reflected across the x-axis. The graph of f(x) is shifted vertically up 1 unit, shifted horizontally to the right 3 units, vertically compressed by a factor of 0.5, and reflected across the y-axis.

Answer 1

the given expression is

f(x) = x^5

f(x) = - 0.5f(x -3) + 1

here, x is replaced with x - 3.

so x is shifted 3 unit right.

also,

f(x) is replaced by f(x) + 1

that means the graph is shifted 1 unit vertically up.

so the correct answer is option A

The graph of f(x) is shifted vertically up 1 unit, shifted horizontally to the right 3 units, vertically compressed by a factor of 0.5, and reflected across the x-axis.