Graphing LOGS - PAP Alg 2

For the next 8 problems, use this RED function: 𝑓(𝑥) = 4 log₂(𝑥+3) − 5. What are the transformations from the parent function? [you may use DESMOS]

• Vertical stretch of 2; Shift right 3; Shift down 5

• Vertical stretch of 2; Shift left 3; Shift down 5

• Vertical stretch of 4; Shift right 3; Shift down 5

• Vertical stretch of 4; Shift left 3; Shift down 5

Remember that the Parent LOG Function has reference points of (1, 0) and (b, 1) where b is the base. Using the function 𝑓(𝑥) = 4 log₂(𝑥+3) − 5, what are the two new reference points (after transformations)? [you may use DESMOS]

• (1, 0) and (2, 1)

• (-2, -5) and (-1, -1)

• (4, 0) and (8, 4)

• (4, 2) and (3, -5)

Using the function 𝑓(𝑥) = 4 log₂(𝑥+3) − 5, what is the equation for the Vertical Asymptote? [you may use DESMOS]

• x = 0

• x = 3

• x = -3

• x = -5

Tags

CCSS.HSF-IF.C.7E

The graph of 𝑓(𝑥) = 4 log₂(𝑥+3) − 5, is _________. [you may use DESMOS]

• Increasing

• Decreasing

• Neither increasing nor decreasing

• Both increasing and decreasing

Tags

CCSS.HSF-IF.C.7E

The graph of 𝑓(𝑥) = 4 log₂(𝑥+3) − 5, looks like ... [you may use DESMOS]

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7E

The DOMAIN of 𝑓(𝑥) = 4 log₂(𝑥+3) − 5, is:

[look back at your DESMOS]

• {x | 3 < x < ∞}

• {x | -∞ < x < ∞}

• {x | -3 < x < ∞}

• {x | 0 < x < ∞}

The RANGE of 𝑓(𝑥) = 4 log₂(𝑥+3) − 5, is:

[look back at your DESMOS]

• {y | 3 < y < ∞}

• {y | -∞ < y < ∞}

• {y | -3 < y < ∞}

• {y | 0 < y < ∞}

For function 𝑓(𝑥) = 4 log₂(𝑥+3) − 5, what is the end behavior? [look back at your DESMOS]

• As x → +∞, f (x) → +∞.

  As x → 0⁺, f (x) → -∞.

• As x → +∞, f (x) → +∞.

  As x → -∞, f (x) → -∞.

• As x → +∞, f (x) → +∞.

  As x → -3⁺, f (x) → -∞.

• As x → +∞, f (x) → +∞.

  As x → -3⁺, f (x) → 0.

Tags

CCSS.HSF-IF.C.7E

For the next 8 problems, use this BLUE function: 𝑓(𝑥)= −log₃(𝑥 −1)+2. What are the transformations from the parent function? [you may use DESMOS]

• Reflect over X-axis; Shift right 1; Shift up 2

• Reflect over X-axis; Shift left 1; Shift up 2

• Reflect over Y-axis; Shift right 1; Shift up 2

• Reflect over Y-axis; Shift left 1; Shift up 2

Remember that the Parent LOG Function has reference points of (1, 0) and (b, 1) where b is the base. Using the function 𝑓(𝑥)= −log₃(𝑥 −1)+2, what are the two new reference points (after transformations)? [you may use DESMOS]

• (1, 0) and (3, 1)

• (2, 2) and (4, 1)

• (2, 2) and (4, 3)

• (1, 2) and (3, 3)

Tags

CCSS.HSF-IF.C.7E