Transformation of Graphs M6L1

Front

What is the transformation that results in the coordinates (x, f(-x)) for the function f(x) = x?

Back

Reflection across the y-axis.

Front

What is the parent function of linear equations?

Back

Linear function.

Front

Which equation represents a function translated left 4 and up 7?

Back

y = |x + 4| + 7.

Front

What transformation occurs when f(x) = x is replaced with f(x) + 2?

Back

Vertical translation up by 2 units.

Front

What transformation does g(x) = -f(x) represent for the function f(x) = x?

Back

Reflection across the x-axis.

Front

What is a vertical translation in graph transformations?

Back

Shifting the graph up or down without changing its shape.

Front

What does a reflection across the x-axis do to the graph of a function?

Back

It flips the graph over the x-axis.

Front

What is the effect of translating a graph to the right by 3 units?

Back

The graph moves 3 units to the right on the x-axis.

Front

How does the graph of f(x) = x^2 change when transformed to f(x) = (x - 2)^2?

Back

The graph shifts 2 units to the right.

Front

What is the result of a reflection across the y-axis for the function f(x) = x?

Back

The graph remains unchanged as it is symmetric about the y-axis.