Modified transformation of linear equations

Front

What is the parent function of linear equations?

Back

f(x) = x

Front

What does it mean to shift a function down 2 units?

Back

The function's output decreases by 2 for every input, represented as f(x) = x - 2.

Front

How does the transformation g(x) = f(x + 6) affect the graph of f(x)?

Back

g(x) is shifted left 6 units.

Front

What type of translation is represented by the equation g(x) = f(x) - 7?

Back

Vertical translation downwards by 7 units.

Front

If a function is transformed to y = f(x) + 7, how does it shift?

Back

The graph shifts up 7 units.

Front

What is the effect of adding a positive number to the function's output?

Back

It results in a vertical shift upwards.

Front

What is the effect of subtracting a positive number from the function's output?

Back

It results in a vertical shift downwards.

Front

What does the transformation g(x) = f(x - 4) indicate?

Back

g(x) is shifted right 4 units.

Front

How can you identify if a function is linear?

Back

A function is linear if it can be represented by a straight line on a graph.

Front

What is the general form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.