Short Game Matching Parent Functions

Front

What is the parent function of the square root?

Back

The parent function of the square root is f(x) = √x.

Front

What is the parent function of the exponential function?

Back

The parent function of the exponential function is f(x) = a^x, where a > 0.

Front

What is the parent function of the absolute value function?

Back

The parent function of the absolute value function is f(x) = |x|.

Front

What is the parent function of the quadratic function?

Back

The parent function of the quadratic function is f(x) = x².

Front

What is the parent function of the cubic function?

Back

The parent function of the cubic function is f(x) = x³.

Front

Describe the transformation of f(x-3).

Back

Right '3' units -->.

Front

Describe the transformation of f(x+2).

Back

Left '2' units <--.

Front

What is the effect of a negative sign in front of a function, e.g., -f(x)?

Back

It reflects the graph across the x-axis.

Front

What is the effect of a vertical stretch by a factor of 2 on f(x)?

Back

The new function is 2f(x), which stretches the graph vertically.

Front

What is the effect of a horizontal compression by a factor of 1/2 on f(x)?

Back

The new function is f(2x), which compresses the graph horizontally.