Parent Functions and Transformations and Translations

If the blue is f(x)=x^2, then the red must be

• g(x)=x²-5

• g(x)=x²+5

• g(x)=(x-5)²

• g(x)=(x+5)²

Which parent function matches the graph?

• f(x) = x

• f(x) = x²

• f(x) =2^x

• f(x) =|x|

Name the parent function.

• linear

• quadratic

• absolute value

• exponential

Translations, reflections and rotations are all known as ________________________.

• Geometry

• Transformations

• Congruent

Describe the transformation

• left 2 up 5

• right 2 up 5

• left 2 down 5

• right 2 down 5

Tags

CCSS.HSF.BF.B.3

• Translate left 2

• Translate right 2

• Translate up 2

• Translate down 2

Tags

CCSS.HSF.BF.B.3

Match the equation to its description.

• Stretched by 2 and up 4

• Compressed by 2 and up 4

• Stretched by 2 and left 4

• Compressed by 2 and left 4

What change does a Translation Cause?

• a shift up, down, left, or right

• a reflection

• a compression

• a stretch

Compare the function y = 0.3x² to the parent function y = x²

• Wider

• Narrower

Compare the function y = 5x² to the parent function y = x²

• Wider

• Narrower