Name that Parent Function
Describe the Transformation
Write the Function
Modeling with Linear Functions
100

a ____________ simple or basic function in the family

What is Parent Function

100

f(x) = x+ 8

What is translation up 8.

100

The quadratic function translated down 3

What is g(x) = x2 - 3

100

The formula m= (y2-y1) / (x2-x1

What is slope?

200

It is denoted as f(x) = |x| and a V-shaped Function.

What is an  Absolute Value 

200
f(x) = lx - 4l
What is translates to the right 4
200
The absolute value function translated to the left 7
What is f(x) = lx + 7l
200

What is the slope of:

(53, 90)   (62, 105)   (70, 117)  (82, 131)   (90, 147)


What is 5/3

300

What shape does the graph of f(x) = x2 looks like?

What is U - Shaped or also known as Parabola

300

f(x) = 1/2x2 - 5

What is vertical shrink by 1/2 and translation down 5.

300

The quadratic function reflected across the x-axis and translated down 5

What is h(x) = -x2 - 5

300

Your riding your bike. After 10 minutes, you travel 3.5 miles. After 30 minutes, you travel 10.5 miles. Write an equation to model your distance.

f(x)=0.35x

400

What is the name of the this parent function f(x) = x

What is Linear Function

400

f(x) = -(x + 9) - 2

What is reflection across x-axis, translates left 9 and down 2.

400

f(x)= |x+1|-2; translated right 8 and down 10

What is g(x)=|x-7|+8

400

Write a line of best fit for the data using points (8, 540) and (25, 200)

Date points: (in a table)

(9, 520) (10, 473) (15, 129) (8, 540) (3, 756) (25, 200) and (1, 952)

f(x)=-20x+700

500

What is the name of the parent function f(x) = 2x

What is Exponential

500

f(x) = -3lx - 5l - 6

What is reflection across x-axis, vertical stretch by a factor of 3, translates right 5 and down 6

500

The absolute value function reflected over x-axis and horizontal shrink by 2. Then translated left 3 and up 4.

What is g(x) = -l1/2x + 3l + 4

500

Sally starts today with 8 bracelets. She makes 2 bracelets each hour. You kept track of your bracelets in the table: (4, 15)  (6, 20) (8, 25) (10, 30) (12, 35) **x is hours, y is total bracelets**

When do you have the same number of bracelets made?

When is 6 hours