Matching Parent Functions

Front

What is the parent function of f(x) = √x?

Back

Square root function.

Front

What is the parent function of f(x) = x²?

Back

Quadratic function.

Front

What is the parent function of f(x) = x³?

Back

Cubic function.

Front

What is the parent function of f(x) = e^x?

Back

Exponential function.

Front

Describe the transformation of f(x) = (x - 3)² + 2.

Back

Right 3, Up 2.

Front

Describe the transformation of f(x) = |x| - 4.

Back

Down 4.

Front

What is the effect of adding a constant 'c' to f(x)?

Back

It shifts the graph vertically by 'c' units.

Front

What is the effect of subtracting a constant 'c' from x in f(x)?

Back

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

Front

What is the effect of multiplying f(x) by a constant 'a'?

Back

It vertically stretches (if |a| > 1) or compresses (if |a| < 1) the graph.

Front

Describe the transformation of f(x) = -|x| + 1.

Back

Reflected over the x-axis, Up 1.