Transformation of Root Functions

What is the equation of the graph?

• y = √(x - 3)

• y = √(x) + 3

• y = √(x - 5) + 4

• y = √(x + 5) + 4

Tags

CCSS.HSF-IF.C.7B

f(x) = -√(x) - 2

• Reflect over x-axis
  Down 2

• Reflect over y-axis
  Up 2

• Reflect over x-axis
  Up 2

• Reflect over y-axis
  Down 2

Tags

CCSS.HSF.BF.B.3

What is the effect of a negative constant 'a' in the equation y = a√x?

• Stretching along the y-axis.

• Translation to the right.

• Reflection across the y-axis.

• Reflection across the x-axis

Tags

CCSS.HSF.BF.B.3

Given the following, translate the graph seven left and two up!

Mathematical Equivalence

ON

Tags

CCSS.HSF.BF.B.3

Take the specified parent function and translate it left by 7 units, reflect it vertically, stretch it vertically by a factor of 2 units, then translate it 2 units up.

Mathematical Equivalence

ON

Tags

CCSS.HSF.BF.B.3

Take the specified parent function and translate it left by 7 units, reflect it vertically, stretch it vertically by a factor of 2 units, then translate it 2 units up.

Mathematical Equivalence

ON

Tags

CCSS.HSF.BF.B.3

The graph of r(x) is a​ ​ (a)   ​by the graph of f(x) by a factor of ​ ​ (b)   .

• horizontal stretch

• horizontal shrink

• vertical stretch

• vertical shrink

• 1/3

• 3

• 2/3

What is the equation of the square root function after a horizontal translation of 3 units to the right?

• y = √(x - 6)

• y = √(x + 6)

• y = √(x + 3)

• y = √(x - 3)

Tags

CCSS.HSF.BF.B.3

What is the equation of the square root function after a vertical translation of 2 units upwards?

• y = √x + 2

• y = √(x + 2)

• y = √x - 2

• y = √(x - 2)

Tags

CCSS.HSF.BF.B.3

What is the equation of the square root function after a horizontal shift to the right by 2 units?

• y = √(x-2)

• y = √(x+2)

• y = √(x^2-2)

• y = 2√(x-2)

Tags

CCSS.HSF-IF.C.7B