APPC 1-12 Function Transformation WU

Given the parent function f(x)=x^3, which transformation produces a graph that is reflected over the y-axis, vertically stretched by a factor of 2, and shifted 3 units down?

• g(x)=2x^3−3

• g(x)=−2(−x)^3−3

• g(x)=2(−x)^3−3

• g(x)=−2x^3+3

For the parent function f(x)=√x, which transformation results in a graph that is horizontally compressed by a factor of 1/4, reflected over the x-axis, and shifted 5 units to the right?

• g(x)=−√4(x−5)

• g(x)=−√1/4(x+5)

• g(x)=−√4(x+5)

• g(x)=−√4(x−5)

Given f(x)=|x|, which transformation yields a graph that is reflected over both axes, vertically compressed by a factor of 1/3, and shifted 2 units up?

• g(x)=−1/3|−x|+2

• g(x)=1/3|−x|+2

• g(x)=−1/3|x|+2

• g(x)=−3|x|+2

For the parent function f(x)=1/x, which transformation results in a graph that is reflected over the y-axis, horizontally stretched by a factor of 5, and shifted 4 units down?

• g(x)=1/5x−4

• g(x)=1/−5x−4

• g(x)=1/−x/5−4

• g(x)=1/−x/5+4

Given f(x)=x^2, which transformation produces a graph that is reflected over the x-axis, horizontally compressed by a factor of 1/2, and shifted 7 units left?

• g(x)=−(1/2x+7)^2

• g(x)=2⋅2−x−4

• g(x)=4⋅2x−1

• g(x)=2⋅2−x+1

Given f(x)=tan(x), which transformation yields a graph that is reflected over both axes, horizontally compressed by a factor of 1/5, and shifted π/3 units up?

• g(x)=−tan(5x)+π/3

• g(x)=−tan(1/5x)+π/3

• g(x)=−tan(5x)−/2}+4

• g(x)=−2⋅2x+4

Given f(x)=log(x), which transformation produces a graph that is reflected over the y-axis, vertically stretched by a factor of 8, and shifted 7 units down?

• g(x)=8log(−x)−7

• g(x)=−8log(x)−7

• g(x)=8log(x)−7

• g(x)=8log(−x)+7

• down
• up
• y-axis
• x-axis
• left
• right

• Left

• down

• Right

• up

• Left
• down
• Right
• up