Transformations DOL Re Do

Which of the following function notations could represents the transformations applied to red graph, so it can transform into the blue graph?

• $-2g\left(x\right)+7$

• $-2g\left(x\right)-7$

• $-\frac{1}{2}g\left(x\right)+7$

• $-\frac{1}{2}g\left(x\right)-7$

What is the transformation function g(x) after we apply the following changes to the graph: Vertical stretch by a factor of 3, shift of 2 units left and 5 units up.

• $g\left(x\right)=3\left|x+2\right|+5$

• $g\left(x\right)=3\left|x-2\right|-5$

• $g\left(x\right)=\frac{1}{3}\left|x+2\right|+5$

• $g\left(x\right)=\left|x+2\right|+5$

If we apply the transformation  $g\left(x\right)=-f\left(x-9\right)-7$  to  $f\left(x\right)=\sqrt{x}$  , then which statement describes the correct changes?

• Vertical reflection, translate 9 units right, and translate 7 units down.

• Translate 9 units right, and translate 7 units down.

• Vertical reflection, translate 9 units left, and translate 7 units down.

• Vertical reflection, translate 9 units right, and translate 7 units up.

Tags

CCSS.HSF.BF.B.3

If $f\left(x\right)=x^2$  is transformed by  $g\left(x\right)=f\left(x+6\right)-8$  , then how is the graph of the function transformed?

• shift of 6 units left, and shift of 8 units down.

• shift of 6 units right, and shift of 8 units down.

• shift of 6 units right, and shift of 8 units up.

• Only shift of 6 units left.

What is the equation of the graph below?

• f(x ) = I x + 4 I + 2
• f(x ) = -I x - 4 I + 2
• f(x ) = I x - 4 I + 2
• f(x ) = -I x + 4 I + 2

Tags

CCSS.HSF-IF.C.7D