Graphs: Stretches and Reflections

The graph  $y=x^2$ is drawn. What transformation would you do to create the graph of  $y=-x^2$  

• Reflect the graph in the x-axis

• Reflect the graph in the y-axis

• Reflect the graph in the line y = x

• Reflect the graph in the line y = -x

 $y=4x^3$  is a transformation of the graph  $y=x^3$ . How would you describe the transformation?

• Stretch of 4 parallel to the y-axis

• Stretch of 4 parallel to the x-axis

• Stretch of  $\frac{1}{4}$   parallel to the x-axis

• Stretch of  $\frac{1}{4}$  parallel to the y-axis

• Stretch of 5 parallel to the y-axis

• Stretch of 5 parallel to the x-axis

 $y=f\left(\frac{1}{2}x\right)^{ }$  is a transformation of the graph  $y=f\left(x\right)^{ }$ . How would you describe the transformation?

• Stretch of 2 parallel to the y-axis

• Stretch of 2 parallel to the x-axis

• Stretch of  $\frac{1}{2}$   parallel to the x-axis

• Stretch of  $\frac{1}{2}$  parallel to the y-axis

 $y=\frac{1}{3}f\left(x\right)^{ }$  is a transformation of the graph  $y=f\left(x\right)^{ }$ . How would you describe the transformation?

• Stretch of 3 parallel to the y-axis

• Stretch of 3 parallel to the x-axis

• Stretch of  $\frac{1}{3}$   parallel to the x-axis

• Stretch of  $\frac{1}{3}$  parallel to the y-axis

The graph  $y=f\left(x\right)$ is drawn. What transformation would you do to create the graph of  $y=-f\left(x\right)$  

• Reflect the graph in the x-axis

• Reflect the graph in the y-axis

• Reflect the graph in the line y = x

• Reflect the graph in the line y = -x

The graph  $y=f\left(x\right)$ is drawn. What transformation would you do to create the graph of  $y=f\left(-x\right)$  

• Reflect the graph in the x-axis

• Reflect the graph in the y-axis

• Reflect the graph in the line y = x

• There is no transformation

 $y=2\left(x-5\right)\left(x+1\right)$  is a transformation of the graph  $y=\left(x-5\right)\left(x+1\right)$ . How would you describe the transformation?

• Stretch of 2 parallel to the y-axis

• Stretch of 2 parallel to the x-axis

• Stretch of  $\frac{1}{2}$   parallel to the x-axis

• Stretch of  $\frac{1}{2}$  parallel to the y-axis

 $y=\left(\frac{x}{2}-5\right)\left(\frac{x}{2}+1\right)$  is a transformation of the graph  $y=\left(x-5\right)\left(x+1\right)$ . How would you describe the transformation?

• Stretch of 2 parallel to the y-axis

• Stretch of 2 parallel to the x-axis

• Stretch of  $\frac{1}{2}$   parallel to the x-axis

• Stretch of  $\frac{1}{2}$  parallel to the y-axis

 $y=f\left(\frac{2}{3}x\right)^{ }$  is a transformation of the graph  $y=f\left(x\right)^{ }$ . How would you describe the transformation?

• Stretch of  $\frac{3}{2}$   parallel to the y-axis

• Stretch of  $\frac{3}{2}$   parallel to the x-axis

• Stretch of  $\frac{2}{3}$   parallel to the x-axis

• Stretch of  $\frac{2}{3}$  parallel to the y-axis