Describe the Transformation
Write the Function
Domain and Range
Even/Odd
Average Rate of Change
100

f(x) = x2 + 8

What is translation up 8.

100

The quadratic function translated down 3

What is g(x) = x2 - 3

100

f(x) = x2 - 5

D:(-infinity, infinity) R: [-5, infinity)

100

f(x)=4x+5

Odd

100

What is the formula to find the average rate of change?

f(x2)-f(x1)/x2-x1

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

h(x) = sqrt(x + 2)

D: [-2, infinity) R: [0, infinity)

200

f(x)=x2 - x + 20

Neither

200

Calculate the average rate of change of f(x) = 2x+5 from x=0 to x=2

2

300

f(x) = 1/2x3 - 5

What is Compression by 1/2 and down 5.

300
The cubic function reflected across the x-axis and translated down 5
What is h(x) = -x^3 - 5
300

g(x) = |x - 1|

D: (-infinity, infinity) R: [0, infinity)

300

f(x) = x6 - x4 + x2 - 12

Even

300

Find the average rate of change on the interval [1,2] for f(x)=x2-8

3

400

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

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

400
The square root function translated right 8 and down 10
What is f(x) = sqrt(x - 8) - 10
400

f(x) = (x + 2)3 - 6

D: (-infinity, infinity) R: (-infinity, infinity)

400

f(x) = 7x3 + 2x2 -11x + 1

Neither
400

Calculate the average rate of change f(x)=-1x2+2x-3 on the interval [2,3]

-3

500

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

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

500
The absolute value function reflected, horizontal shrink by 2, left 3, and up 4
What is g(x) = -2lx + 3l + 4
500

g(x) = -(x - 5)2 + 7

D: (-infinity, infinity) R: [7, -infinity)

500

Odd functions are symmetric over _____________.

Even functions are symmetric over ______________.

The origin.

The y-axis.

500

Find the average rate of change for f(x)=-3(x+2)2-10 from [-1,1]

-2

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