Reflection of a Function

Describe the transformation as it relates to the parent function. f(x) = -x

• translation up 1

• translation down 1

• reflection across the x axis

• reflection across the y axis

The mathematical name for flip is

• Reflection

• Translation

• Stretch

• Compression

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Write the equation of a line with a vertical translation down 6 and a reflection across the x axis and a slope of 2.

• f(x) = 2x + 6

• f(x) = -(x -6)

• f(x) = -(2x) - 6

• f(x) = (2x -6)

Describe the 2 transformations in this function.

f(x) = -x + 3

• Reflection y axis translation down 3

• Reflection x axis translation up 3

• Reflection y axis translation right 3

• Reflection x axis translation down 3

What do you notice about the difference between f(x) coordinate points and f(-x) coordinate points?

What do you notice about the difference between f(x) coordinate points and -f(x) coordinate points?

Groups:

(a) f(-x)

,

(b) -f(x)

• reflects a graph about the y-axis

• reflects a graph about the x-axis

Tags

CCSS.HSF.BF.B.3

Which transformation on f(x) = x is g(x) = -f(x)

• Reflection across the y-axis

• The slope will be less steep

• The graph will be wider

• Reflection across the x-axis.

Describe the transformation.

• Down 1

• Reflect over y-axis

• Up 1

• Reflect over x-axis

Tags

CCSS.HSF.BF.B.3

The parent function is shown with the solid black curve. Which function shows a reflection across the y-axis?

• blue

• green

• red

Which of the following functions reflects the graph f(x)=(x-1)² ?

• g(x)= - (x-1)²

• g(x)= (x+1)²

• g(x)= (-x-1)²

• g(x)= (x-1)²-1

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