Transform Function Reflect Translate

What steps transform the graph y = x² to y = (x - 4)²

• Shifted down 4 units

• Shifted left 4 units

• Shifted right 4 units

• Shifted up 4 units

Match the equation to its description.

• Vertically stretched by 2 and shifted up 4

• Vertically compressed by 2 and shifted up 4

• Vertically stretched by 2 and shifted left 4

• Vertically compressed by 2 and shifted left 4

If the blue is f(x)=x^2, then the red must be

• g(x)=x² - 5

• g(x)=x² + 5

• g(x)=(x - 5)²

• g(x)=(x + 5)²

Identify the transformation.

• Reflection across y axis

• Reflection across x-axis

• 180 Rotation

• Translation 2 units down

Tags

CCSS.8.G.A.3

Describe the transformations necessary to transform the graph of f(x) (solid line) into that of g(x) (dashed line).

• reflect over the y-axis and translate right 3 units

• reflect across the x-axis translate left 3 units

• reflect over the x- axis and translate down 3 units

• reflect of the y-axis and translate left 3 units

Describe the transformations necessary to transform the graph of f(x) into that of g(x).

• expand vertically by a factor of 3, reflect across the x-axis, translate down 1 unit

• expand vertically a by a factor of 3, reflect across the y-axis, up 1 unit

• expand vertically by a factor of 1, reflect across the x-axis, translate down 3

• expand vertically by a factor of 3, reflect across the y-axis, down 1 unit

Tags

CCSS.HSF.BF.B.3

Describe the transformations necessary to transform the graph of f(x) into that of g(x).

• expand vertically by a factor of 3 translate right 1 unit

• up 3 translate left 1 unit

• expand vertically by a factor of 3 translate left 1 unit

• up 3 translate right 1 unit

Tags

CCSS.HSF.BF.B.3

Transform the given function f(x) as described and write the resulting function as an equation.

• g(x) = x² - 3

• g(x) = 3x² - 3

• g(x) = 3(x - 3)²

• g(x) = 3(x + 3)²

Transform the given function f(x) as described and write the resulting function as an equation.

• g(x) = 2/(x + 3)

• g(x) = 1/(2(x - 3))

• g(x) = 1/(2(x + 3))

• g(x) = 1/(2x+ 3)

Tags

CCSS.HSF.BF.B.3