1.2 Transforming Functions

Let f(x) = |x + 1|. Which function would have a graph that is 5 units down of the graph of f?

• g(x) = |x + 1| + 5

• g(x) = |x + 1| - 5

• g(x) = |x + 6|

• g(x) = |x - 4|

Tags

CCSS.HSF.BF.B.3

Let f(x) = |x + 1|. Which function would have a graph that is 5 units left of the graph of f?

• g(x) = |x + 1| + 5

• g(x) = |x + 1| - 5

• g(x) = |x + 6|

• g(x) = |x - 4|

Tags

CCSS.HSF.BF.B.3

Let f(x) = |x + 2|. Which function would have a graph that is reflection in the x-axis of the graph of f?

• g(x) = |x - 2|

• g(x) = |-x + 2|

• g(x) = |-x - 2|

• g(x) = -|x + 2|

Tags

CCSS.HSF.BF.B.3

Let f(x) = x² + 8. Which function would have a graph that is 2 units down of the graph of f?

• g(x) = x² + 6

• g(x) = x² + 10

• g(x) = (x - 2)² + 6

• g(x) = (x +2)² + 6

Tags

CCSS.HSF.BF.B.3

Let f(x) = x² + 8. Which function would have a graph that is 5 units right of the graph of f?

• g(x) = x² + 13

• g(x) = x² + 3

• g(x) = (x - 5)² + 8

• g(x) = (x +5)² + 8

Tags

CCSS.HSF.BF.B.3

Let f(x) = x² + 8. Which function would have a graph that is a reflection in the x-axis of the graph of f?

• g(x) = x² - 8

• g(x) = -x² + 8

• g(x) = -x² - 8

• g(x) = x² + 8

Let f(x) = 3x + 4. Which function would have a graph that is 4 units down of the graph of f?

• g(x) = 3x

• g(x) = 3x - 4

• g(x) = 3x - 8

• g(x) = 3x + 16

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Let f(x) = 3x + 4. Which function would have a graph that is 1 units left of the graph of f?

• g(x) = 3x + 3

• g(x) = 3x + 5

• g(x) = 3x + 7

• g(x) = 3x + 1

Let f(x) = 3x + 4. Which function would have a graph that is a reflection in the x-axis of the graph of f?

• g(x) = -3x + 4

• g(x) = -3x - 4

• g(x) = 3x - 4

• g(x) = 4x + 3

Let f(x) = |x + 2|+ 9. Which function would have a graph that is 3 units down and 5 units right of the graph of f?

• g(x) = |x - 1| + 14

• g(x) = |x - 3| + 6

• g(x) = |x + 7| + 6

• g(x) = |x + 5| + 4

Tags

CCSS.HSF.BF.B.3