Functions

• 8

• -24

• 24

• -22

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a translation shifting f(x) 4 units up
• a translation shifting f(x) 4 units down
• a translation shifting f(x) 4 units to the left
• a translation shifting f(x) 4 units to the right

Describe the transformation of y = f(x) for the new function
 y = f(x) + 5

• The graph of y = f(x) was shifted to the right 5 units. 
• The graph of y = f(x) was shifted to the left 5 units. 
• The graph of y = f(x) was shifted up 5 units. 
• The graph of y = f(x) was shifted down 5 units.

• 9 - √17
• 4
• 2
• √8

(f + g) (x)

• 5x² + 3x

• 4x² + 3x

• 5x² - 3x

• 4x² - 40x

If f(x) = 3x-1 and g(x) = x²+2,

what is (f ° g)(x) ?

• 3x² +5

• x² +1

• 3x² +1

• 3x² +6

Given f and g in the graph,

what is (f ° g)(-1) ?

• 1

• 4

• -1

• 6

f(x) = x²+9
g(x) = x-9
Find f(x)-g(x). 

• x²+x+9
• x²-x+9
• x²-x
• x²-x+18

f(x) = 6x² + 3x + 2 and g(x) = x - 7

Find f(x) * g(x)

• 6x³ - 39x² - 19x + 14

• 6x³ - 39x² - 21x - 14

• 6x³ - 39x² - 19x - 14

• 6x³ - 45x² - 19x + 14

f(x) = 4x + 1 and g(x) = 4x - 3
Find f(x) * g(x)

• 16x² + 8x - 3
• 16x² - 8x + 3
• 16x² - 8x - 3
• 16x² - 16x - 3