Quiz #4 Transformations and Composition of Functions

Tags

CCSS.HSF-BF.A.1C

• Shift up 5 units

• Shift down 5 units

• Shift right 5 units

• Shift left 5 units

. 
If the blue is f(x)=x^2, then the red must be

• g(x)=x²-5
• g(x)=x²+5
• g(x)=(x-5)²
• g(x)=(x+5)²

• 8

• 1

• 29

• 22

Answer explanation

g(8)= (8)-7=1
f(1)= 3(1)+5
= 3+5
= 8

Tags

CCSS.HSF-BF.A.1C

Let

f(x) = 3x + 10

g(x) = x - 2

Evaluate f(g(0))

• 16

• 4

• -4

• None of these.

Answer explanation

g(0)= (0) -2= -2

f(-2)= 3(-2) + 10

= -6+10

= 4

Tags

CCSS.HSF-BF.A.1C

• 3
• 1
• 4
• None of the Above

Tags

CCSS.HSF-BF.A.1C

Find h(f(-2))

• 0

• 2

• -2

• 26

Tags

CCSS.HSF-BF.A.1C

• 15

• 5

• 10

• None of the Above

Answer explanation

Remember to start with the inside function first!

Tags

CCSS.HSF-BF.A.1C

Evaluate g(f(4))

• 13

• 2

• 4

• 9

Answer explanation

Remember to start with the inside function first!

Tags

CCSS.HSF-BF.A.1C

Which equation is an absolute value graph shifted right 5 units?

• y = |x - 5|
• y = |x + 5|
• y = |x| + 5
• y = -5|x|