Adding and Subtracting Functions Algebraic Notation

Translations of functions are characterized by which type of operations? (Select all that apply)

• Adding

• Subtracting

• Multiplying

• Dividing

Select the correct algebraic representation for the transformation shown below.

• (x+3, y+5)

• (x-3, y-5)

• (x+5, y+3)

• (x-5, y-3)

What is the algebraic representation of ABCD when it was translated to figure EFGH?

• (x+10, y+2)

• (x+2, y+10)

• (x-10, y-2)

• (x-2, y-10)

Two functions are given: h(x) = x^2 - 2x g(x) = 2x^2 - 4x Find h(x) - g(x).

• A
• B
• C
• D

Find the sum:
(7k + 9) + (4k - 3)

• 3k + 6 

• 11k + 6

• -11k + 6

• - 3k + 6

2(2x + 3) + 3(4x + 5)

• 6x + 8

• 16x + 21

• 56x + 8

• 16x + 8

(7a + 4) - (9a + 2)

• -2a + 6

• 2a + 6

• -2a + 2

• 2a + 2

Find the difference (2x + 5) − (x + 4).

• x + 1

• 3x + 9

• −x + 1

• x + 9

(-11a + 7) – (11a – 7)

• -22a - 14

• 0

• -22a + 14

• -22a