Flashcard #4 Transformations and Composition of Functions

Front

Back

Front

Back

Shift down 5 units

Front

If the blue is f(x)=x², then the red must be (Options: g(x)=x²-5, g(x)=x²+5, g(x)=(x-5)², g(x)=(x+5)²)

Back

g(x)=x²-5

Front

Back

8

Answer explanation

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

Front

Evaluate f(g(0)) for f(x) = 3x + 10 and g(x) = x - 2

Back

4

Answer explanation

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

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

= -6+10

= 4

Front

Back

4

Front

Find h(f(-2))

Back

2

Front

Back

15

Answer explanation

Remember to start with the inside function first!

Front

Evaluate g(f(4))

Back

9

Answer explanation

Remember to start with the inside function first!

Front

Which equation is an absolute value graph shifted right 5 units? Options: y = |x - 5|, y = |x + 5|, y = |x| + 5, y = -5|x|

Back

y = |x - 5|