Analyzing Functions and Graphs Translate Reflect

The linear parent function, f(x) = x, is transformed to g(x) = f(x - 6). Describe the transformation.

• g(x) is shifted up 6 units

• g(x) is shifted down 6 units

• g(x) is shifted left 6 units

• g(x) is shifted right 6 units

How did the equation shift from the parent function? y = f(x + 7)

• Up 7

• Down 7

• Left 7

• Right 7

Let g(x) be the indicated transformation of f(x). Write the rule for g(x). f(x)= - 3x + 6, vertical translation up 9 units

• g(x)= - 3x - 21

• g(x)= - 3x + 15

• g(x)= - 3x + 33

• g(x)= - 3x - 3

Let g(x) be the indicated transformation of f(x). Write the rule for g(x).

f(x)= - 8x - 3, vertical translation down 5 units

• g(x)= - 8x - 8

• g(x)= - 8x + 2

• g(x)= - 8x + 37

• g(x)= - 8x - 44

Let g(x) be the indicated transformation of f(x). Write the rule for g(x).

f(x)= 12x + 18, vertical stretch by a factor of 3

• g(x)= 36x + 54

• g(x)= 4x + 6

• g(x)= 36x + 18

• g(x)= 4x + 18

Let g(x) be the indicated transformation of f(x). Write the rule for g(x).

f(x)= - 9x + 12, reflect across the y-axis

• g(x)= 9x - 12

• g(x)= - 9x - 12

• g(x)= - 9x + 12

• g(x)= 9x +12

• vertical stretch factor 2 and translate up 3

• vertical stretch factor 2 and translate left 3

• vertical stretch factor 2 and translate down 3

• translate right 2 and up three

• reflect over x axis and vertical stretch by 2.

• reflect over y axis and vertical stretch by 2.

• reflect over x axis and horizontal stretch by 2.

• reflect over y axis and horizontal stretch by 1/2.

• vertical shrink factor 1/4, reflect over y-axis, translate down 1

• vertical stretch factor 1/4, reflect over x-axis, translate down 1

• vertical shrink factor 1/4, reflect over x-axis, translate down 1

• horizontal shrink factor 4, reflect over y-axis, translate down 1

What are the transformations of this functions compared to the parent function?

• Shifted right 5, shifted down 2, and reflected over the x-axis

• Reflected over the x-axis, vertical stretch by 2, and shifted right 5

• Reflected over the x-axis, vertical stretch by 2, and shifted left 5

• Shifted right 5, shifted down 2