11/3 2A Linear Transformations in Function Notation

 $g\left(x\right)=-2x$   $h\left(x\right)=2x$  The new line will...

• go up.

• go down.

• be more steep

• translate up 2 units. 

 $f\left(x\right)=\frac{1}{2}x+3$   $g\left(x\right)=\frac{1}{2}x+1$  The new line will...

• translate up 2 units. 

• translate down 2 units. 

• go downward. 

• be less steep. 

 $g\left(x\right)=3x$   $h\left(x\right)=\frac{5}{3}g\left(x\right)$  The new line will...

• be more steep.

• be less steep. 

• translate up 2 units. 

• go up. 

 $y1=-5x+8$   $y2=-5x+3$  The new line will...

• translate down 5 units. 

• go down. 

• be less steep. 

• translate up 5 units. 

 $g\left(x\right)=x$   $h\left(x\right)=\frac{1}{4}g\left(x\right)$  The new line will...

• be less steep. 

• go down. 

• translate down 3/4.

• be more steep. 

From y1 to y2, the new line will...

• translate up 6 units.

• translate down 6 units.

• go up.

• be more steep.

From y1 to y2, the new line will...

• translate up 6 units.

• translate down 6 units.

• go up.

• be more steep.

From y1 to y2, the new line will...

• go down.

• translate down 6 units.

• go up.

• be more steep.

From y1 to y2, the new line will...

• translate up 10 units.

• translate down 10 units.

• go up.

• be more steep.

From y1 to y2, the new line will...

• go up, and translate down 2 units.

• have no change

• go down, translate up 2 units.