alg2a BB flashcard 1.4

Front

What transformation maps the graph of f(x) = x² to g(x) = (x + 4)²?

Back

A translation shifting f(x) 4 units to the left.

Front

Describe the transformation of y = g(x) for the function y = 2g(x - 3) + 5.

Back

Shifted right 3 units, stretched vertically by a factor of 2, shifted up 5 units.

Front

Which equation describes the transformation of shifting f(x)=x³ three units left?

Back

g(x) = (x + 3)³.

Front

What transformation occurs if f(x) = x² is replaced with f(x) + 2?

Back

Vertical translation up by 2 units.

Front

If f(x)=x² is blue, what is g(x) if it is shifted 3 units to the right?

Back

g(x) = (x - 3)².

Front

What is a vertical translation?

Back

A shift of the graph up or down without changing its shape.

Front

What does a horizontal translation to the left mean?

Back

The graph moves left by a certain number of units, represented by f(x + c).

Front

How does multiplying a function by a factor greater than 1 affect its graph?

Back

It stretches the graph vertically.

Front

What is the effect of adding a constant to a function?

Back

It translates the graph vertically.

Front

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

Back

A reflection across the x-axis.