Transformations of Functions ( Pre- Assessment)

Describe the transformation:

 $f\left(x\right)=3x^2$  

• Vertical Stretch by a Factor of 3

• Vertical Compression by a Factor of 3

• Horizontal Stretch by a Factor of  $\frac{1}{3}$  

• Horizontal Compression by a Factor  $\frac{1}{3}$  

Describe the transformation:

 $g\left(x\right)=\left(x-3\right)^2$  

• Shift 3 units up

• Shift 3 units down

• Shift 3 units left

• Shift 3 units right

Describe the transformation:

 $h\left(x\right)=x^2+7$  

• Shift 7 units down

• Shift 7 units up

• Shift 7 units left

• Shift 7 units right

Describe the transformation:

 $f\left(x\right)=\left(\frac{1}{2}x\right)^2$  

• Vertical Compression by a Factor of  $\frac{1}{2}$  

• Horizontal Stretch by a Factor of 2

• Vertical Stretch by a Factor of 2

• Horizontal Compression by a Factor of  $\frac{1}{2}$  

Describe the transformation: (click on two answers)

 $h\left(x\right)=\left(x-1\right)^2+5$  

• Shift 1 unit left

• Shift 1 unit right

• Shift 5 units up

• Shift 5 units down

Describe the transformation: (click on two answers)

 $f\left(x\right)=-x^2-7$  

• Reflection over the x-axis

• Reflection over the y-axis

• Shift 7 units up

• Shift 7 units down

What is the equation of the red parabola?

• $f\left(x\right)=-\left(x+5\right)^2$

• $f\left(x\right)=-\left(x-5\right)^2$

• $f\left(x\right)=-x^2+5$

• $f\left(x\right)=-x^2-5$

What is the equation of the red parabola?

• $h\left(x\right)=\left(x-3\right)^2-7$

• $h\left(x\right)=\left(x+3\right)^2+7$

• $h\left(x\right)=\left(x+7\right)^2+3$

• $h\left(x\right)=\left(x-7\right)^2+3$

What is the equation of the red parabola?

• $g\left(x\right)=\left(x-6\right)^2-2$

• $g\left(x\right)=\left(x-6\right)^2+2$

• $g\left(x\right)=\left(x-2\right)^2-6$

• $g\left(x\right)=\left(x+2\right)^2-6$

What is the equation of the red parabola?

• $f\left(x\right)=-\left(x+5\right)^2+4$

• $f\left(x\right)=-\left(x-4\right)^2+5$

• $f\left(x\right)=-\left(x+4\right)^2+5$

• $f\left(x\right)=-\left(x+5\right)^2-4$