Algebra Functions and Transformations

Which parent function matches the graph?

• y = |x|

• y = x

• y = x²

• y = 2^x

What type of function is shown?

• linear

• quadratic

• square root

• absolute value

Is this a max or min?

• max

• min

• cannot be determined

Name the parent function.

• cubic

• cube root

• exponential

• quadratic

• F
• G
• H
• J

• F
• G
• H
• J

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

Match the following

• The line shifted 6 units down.

• f(x)-6

• The line shifted 6 units to the left.

• f(x-6)

• The line shifted 3 units up.

• f(x)+3

• The line shifted 3 units to the left.

• f(x+6)

• The line shifted 6 units to the right.

• f(x+3)

Tags

CCSS.HSF.BF.B.3

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

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