Transformations Test

Which option shows how to translate a graph 5 units up?

• f(x) -5

• f(x+5)

• f(x)+5

• f(x-5)

Which option shows how to translate a graph 5 units left?

• f(x+5)

• f(x)-5

• f(x)+5

• f(x-5)

Which option stretches a graph out vertically by a factor of 3?

• $3f\left(x\right)$
  

• $\frac{1}{3}f\left(x\right)$

• $f\left(\frac{1}{3}x\right)$

• $\frac{1}{3}f\left(x\right)$

Which option shows how to stretch a graph horizontally by a factor of 3?

•  $\frac{1}{3}f\left(x\right)$  

•  $3f\left(x\right)$  

•  $f\left(3x\right)$  

•  $f\left(\frac{1}{3}x\right)$  

Which option reflects a graph across the y-axis?

•  $-f\left(-x\right)$  

•  $-f\left(x\right)$  

•  $f\left(-x\right)$  

•  $f\left(x\right)-1$  

Which option shows a horizontal translation 2 units right and 1 unit up?

• $f\left(x+1\right)+2$

• $f\left(x-2\right)+1$

• $f\left(x+2\right)-1$

• $2f\left(x\right)+1$

Which option vertically shrinks graphs by a factor of 1/2 and then translates it 3 units down?

• $f\left(\frac{1}{2}x\right)-3$

• $f\left(2x\right)+3$

• $2f\left(x\right)-3$

• $\frac{1}{2}f\left(x\right)-3$

Which option stretches a graph vertically by a factor of 2 and shrings it horizontally by a factor of 1/2?

• $\frac{1}{2}f\left(2x\right)$

• $2f\left(2x\right)$

• $2f\left(\frac{1}{2}x\right)$

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

Which option translates a graph 3 units down and then reflects across the x-axis?

• $-\left(f\left(x\right)-3\right)$

• $-f\left(x\right)-3$

• $f\left(-x\right)-3$

• $-\left(f\left(x\right)+3\right)$

Which option stretches a graph horizontally by a factor of 3 and then translates the graph 1 unit left?

• $f\left(3x+1\right)$

• $f\left(3x-1\right)$

• $f\left(\frac{1}{3}x-1\right)$

• $f\left(\frac{1}{3}x+1\right)$