Transforming Functions

How would you write y = 2x - 3 in function notation?

• y = 2x-3

• f = 2x - 3

• f(x) = 2x - 3

• Can't be written in function notation

Tags

CCSS.HSF.IF.A.2

Find f(2)

• 5

• 4

• 3

• 0

Tags

CCSS.HSF.IF.A.2

If f(x) = 2x+1, what would the function look like once you substitute in a 1 to find f(1)?

• f(x) = 21+1

• f(1) = 2 (1) + 1

• f(1) = 2x (1) + 1

Tags

CCSS.HSF.IF.A.2

If f(x) = x²-x+3, what would the function look like once you substitute in a -3 to find f(-3)?

• f(-3) = -3²-3+3

• f(-3) = (-3)² -(-3)+3

• f(-3) = (-3)² -3+3

Tags

CCSS.HSF.IF.A.2

What is the effect on the graph of the linear parent function, f(x) = x, when f(x) is replaced by f(x- 7)? Complete the sentence by selecting the correct answers from the drop-down menus. The graph of the line ​ (a)   ​ ​ (b)   7 units.

• shifts horizontally

• up

• down

• left

• right

• shifts vertically

• Flip

• Vertical Compression

• Same as

• Vertical Stretch

• Horizontal Stretch

• Horizontal Compression

• (-4,-1)

• (4,1)

Tags

CCSS.HSF.BF.B.3

Match the following

• The line shifted 6 units to the left.

• f(x+6)

• The line shifted 3 units to the left.

• f(x+3)

• The line shifted 6 units to the right.

• f(x)+3

• The line shifted 3 units up.

• f(x-6)

• The line shifted 6 units down.

• f(x)-6

Tags

CCSS.HSF.BF.B.3

The linear parent function, f(x) = x, is transformed to g(x) = f(x) - 3. Describe the transformation. (a)  

• g(x) is shifted up 3 units

• g(x) is shifted down 3 units

• g(x) is shifted left 3 units

• g(x) is shifted right 3 units

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

• 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

What is the effect on the graph of the linear parent function, f(x) = x, when f(x) is replaced by f(x- 7)? Complete the sentence by selecting the correct answers from the drop-down menus. The graph of the line ​ (a)   ​ ​ (b)   7 units.

• shifts horizontally

• up

• down

• left

• right

• shifts vertically