Common Core HSF.BF.B.3 worksheet

Question 1

Which transformation maps y = f(x) to y = f(x) + 4?

• A. translate up 4
• B. translate left 4
• C. reflect in the x-axis
• D. reflect in the y-axis

Question 2

The point (6, −5) lies on y = f(x). Where does it move to on y = f(x + 4) − 4? Type it like (2, −1).

Answer 

Question 3

f is an even function and f(3) = 0. Find f(−3).

Answer 

Question 4

Is f(x) = −2x³ + 5x² + 5 even, odd or neither?

• A. Even
• B. Odd
• C. Neither

Question 5

Which transformation maps y = f(x) onto y = f(−x)?

• A. Vertical stretch, scale factor 3
• B. Reflection in the y-axis
• C. Translation 3 units right
• D. Reflection in the x-axis

Question 6

The graph of y = x² is transformed to y = (x + 6)² + 0. Where is the new vertex? Type it like (2, −1).

Answer 

Question 7

Which transformation maps y = f(x) to y = f(x + 2)?

• A. translate up 2
• B. translate left 2
• C. reflect in the x-axis
• D. reflect in the y-axis

Question 8

The point (−5, −2) lies on y = f(x). Where does it move to on y = f(x − 3) + 2? Type it like (2, −1).

Answer 

Question 9

f is an even function and f(5) = −2. Find f(−5).

Answer 

Question 10

Is f(x) = 3x⁴ + 4x² − 6 even, odd or neither?

• A. Even
• B. Odd
• C. Neither

Question 11

Which transformation maps y = f(x) onto y = f(3x)?

• A. Horizontal stretch, scale factor 1/3
• B. Translation 3 units right
• C. Reflection in the y-axis
• D. Translation 3 units up

Question 12

The graph of y = x² is transformed to y = (x + 3)² + 1. Where is the new vertex? Type it like (2, −1).

Answer 

Question 13

Which transformation maps y = f(x) to y = f(−x)?

• A. translate up 4
• B. translate left 4
• C. reflect in the x-axis
• D. reflect in the y-axis

Question 14

The point (4, 2) lies on y = f(x). Where does it move to on y = 5f(x)? Type it like (2, −1).

Answer 

Question 15

f is an even function and f(1) = −4. Find f(−1).

Answer 

Question 16

Is f(x) = −2x⁴ + 5x² − 1 even, odd or neither?

• A. Even
• B. Odd
• C. Neither