Reflection on a Graph

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.

How did the equation shift from the parent function? y = -3f(x) + 5

• Reflection over x-axis, steeper, up 5

• Reflection over y-axis, less steep, right 5

• Steeper, left 5

• reflection over x-axis, less steep, up 5

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

• Graph g is a reflection.

• Graph g translated down 2 units.

• Graph g is steeper.

• Graph g is less steep.

The blue line is f(x), which line is -f(x)?

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The blue line is f(x), which line is f(-x)?

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Tags

CCSS.HSF-IF.C.7A

The blue line is y=f(x), which line is y=-f(x)?

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Tags

CCSS.HSF.BF.B.3

Mirror image of a graph over a line; does not change the graphs shape

• Translation

• Transformation

• Vertex

• Reflection

Describe the transformation.

• Down 1

• Reflect over y-axis

• Up 1

• Reflect over x-axis

Tags

CCSS.HSF.BF.B.3

List the translations or reflections of this function.
f(x)= -√x  -2

• Reflection, Left 2

• Reflections, Up 2

• Reflection, Right 2

• Reflection, Down 2

Tags

CCSS.HSF.BF.B.3

What axis is the triangle being reflected over?

• X-axis

• Y-axis

Answer explanation

Think of your axis of reflection as a book spine: If you "turn the page" to move your figure from preimage to image, where would the page have been attached?

In this case, the y-axis.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5