2-13-24 Square Root Function Notes

P4 A-F. Match the correct answers.

• (0, 0)

• Average Rate of Change

• Range

• Decreases as x increases

• x and y intercepts

• Domain

• End Behavior

• 1
• 0
• -5
• 5

• 1
• 3
• 0
• -3

• 1
• 0
• 3

P6 A. The mapping of the transformation of the square root parent function (-1, -4) is mapped to (​ (a)   ) and (0, -1) is mapped to (​ (b)   ). This point indicates that the domain of g is ​ (c)   and its range is ​ (d)   .

• h, k
• h + 1, k + a
• k, h
• h -1. k - a
• k + a, h + 1
• h + a, k + 1
• {x | x ≥ −1}
• {y | y ≥ −4}

P6 B. The rate of change from (-1, -4) to (0, -1) on the graph of g shows a ​ (a)   by a factor of ​ (b)   when compared to the rate of change from (0, 0) to (1, 1) on the graph of the parent function.

• vertical stretch
• 3
• vertical shrink
• horizontal stretch
• horizontal shrink
• 1/3

P7 4A. What can you do to verify that this is the correct function?

• Ask your teacher for help to verify your function.

• Check with a friend to see if they got the same function.

• Use another point from the graph to verify the function.

• There is no way to verify the function.

P7 4B. The domain is {x | ​ (a)   } and the range is {y |​​ (b)   }.

P7 5A1. What is the average rate of change for the first interval?

Mathematical Equivalence

ON

P7 5A2. What is the average rate of change for the last interval?

Mathematical Equivalence

ON