Graphs of Functions

Front

What is the transformation of the function g(x) = f(x + 6) if f(x) = x?

Back

g(x) is shifted left 6 units.

Front

What is the transformation of the function g(x) = f(x) + 3 if f(x) = x?

Back

g(x) is shifted up 3 units.

Front

What type of function is represented by the graph of a square root?

Back

Square Root Function.

Front

How do you read f(x)?

Back

f of x.

Front

What is the transformation of the function y = f(x - 4) if f(x) = x?

Back

Shift right by 4.

Front

What is the parent function of a linear function?

Back

f(x) = x.

Front

What does a vertical shift of a function mean?

Back

The entire graph moves up or down without changing its shape.

Front

What is the effect of adding a constant to a function, such as g(x) = f(x) + c?

Back

It shifts the graph vertically by c units.

Front

What is the effect of subtracting a constant from the input of a function, such as g(x) = f(x - c)?

Back

It shifts the graph horizontally to the right by c units.

Front

What is the general form of a quadratic function?

Back

f(x) = ax^2 + bx + c.