Transformations of Functions

Describe the Quadratic Transformation

100

f(x) = x² + 8

What is translation up 8.

200

f(x) = lx - 4l

What is translates to the right 4

300

f(x) = 1/2x³ - 5

What is Compression by 1/2 and down 5.

400

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

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

500

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

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

Write the Function

100

The quadratic function translated down 3

What is g(x) = x² - 3

200

The absolute value function translated to the left 7

What is f(x) = lx + 7l

300

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

What is h(x) = -x^3 - 5

400

The square root function translated right 8 and down 10

What is f(x) = sqrt(x - 8) - 10

500

The absolute value function reflected, horizontal shrink by 2, left 3, and up 4

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

Describe the exponential transformation

100

y = 2^x +3

Vertical shift up 3

200

y = 2^x+2-3

horizontal shift left2 and vertical shift down 3

300

y = 4^x-1

horizontal shift right 1

400

y = -2^x-3

reflected over x and shifted right 3

500

g(x) =-3(2)^(x+1)-4

reflected over x, vertically stretched, left 1, down 4

Name that Parent Function

100

a ____________ simple or basic function in the family

What is Parent Function

300

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

What is U - Shaped or also known as Parabola

500

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

What is Exponential