1.4A Warm-Up

If the blue function is f(x)=√x, the red function must be

• g(x)=√(-x)
• g(x)=√(x-1)
• g(x)=√x-1
• g(x)=-√x

Tags

CCSS.HSF.BF.B.3

 $y=\sqrt{x-\frac{3}{2}}+2$  belongs to what family of functions?

• square root

• absolute value

• linear

• quadratic

What does the transformation $f\left(x\right)\ \rightarrow\ \frac{1}{3}f\left(x\right)+4$ do to the graph of  $f\left(x\right)$  ?

• Shrinks the graph vertically by a factor of 1/3 and translates up 4 units.

• Stretches the graph by a factor of 3 and translates up 4 units.

• Translates the graph left 1/3 of a unit and up 4 units.

• Translates the graph right 3 unites and down 4 units.

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSG.CO.A.2

What does the transformation $f\left(x\right)\ \rightarrow\ f\left(x+1\right)-9$ do to the graph of  $f\left(x\right)$  ?

• translates it left one unit and down 9 units

• translates it right one unit and down 9 units

• translates it up one unit and right 9 units

• translates it down one unit and left 9 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

State the line of reflection.

• Reflection across y-axis
• Reflection across x-axis
• Reflection across x = 1
• Reflection across y = 1

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5