Functions
Parent Functions
Domains
Rate of change
Translations
100

Solve!

2x+3=11

x = 4

100

What is the parent function of this expression!

-(x - 235)^2 + 87

x^2
100

Find the domain!

f(x) = 3x + 5

All real number!

100

What is the average rate of change?

A car travels 100 miles in 2 hours.

50mph

100

What is the direction this translation moves from the parent function!

(x-123)2+3

Right 123 and up 3

200

Solve!

x2-5x+6

x = 2,3

200

What is the parent function!

sqrt(x+54)+234

sqrt(x)

200

Find the domain!

f(x) = 1/x

x =/= 0

200

What is the rate of change?

The value of a phone drops from $800 to $500 in 3 years.

-100

200

Which way does this function open to!

-(2x-123)2+432

Down

300

Solve!

2= 8

x=3

300

What is the parent function!

-(x-48)^3-957

x^3

300

Find the domain!

1/x-4

x =/= 4

300

What is the average rate of change?

The population of a town grows from 12,000 to 15,000 in 6 years.

500

300

What is the translation?

-Sqrt(5x-173)3-89

Negative, shifted right 173 shifted down 89 and a vertical stretch by 5 

400

x/x-2 = 3

x = 3

400

What is the parent function!

-|x+123|-123

|x|

400

Find the domain!

f(x) = 1/x2-9

x =/= 3, -3

400

Find the difference quotient f(x+h)-f(x)/h

f(x) = 7x-5

7

400

What is the translation?

|1/3x+78|+125

A shift to the left by 78, a shift up 125, and a squeeze of 1/3.
500

Solve!

Sqrt(x+5) = 4

x = 11

500

What is the parent function!

|x|+1+123-2

|x|

500

Find the domain!

Sqrt(x-1/x+2)

x < -2 or x>= 1

500

What is the average rate of change for the function x2 from x = 0 to x = 2.

2

500

What is the translation?

1/x+2

shift to the left by 2

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