Parent Graph Identification

Front

What is a parent graph?

Back

A parent graph is the simplest form of a family of graphs, representing the basic shape of the function without any transformations.

Front

Identify the parent graph of a linear function.

Back

The parent graph of a linear function is y = x, which is a straight line through the origin with a slope of 1.

Front

What is the parent graph of a quadratic function?

Back

The parent graph of a quadratic function is y = x², which is a parabola opening upwards.

Front

Identify the parent graph of a cubic function.

Back

The parent graph of a cubic function is y = x³, which has an S-shape curve.

Front

What is the parent graph of an absolute value function?

Back

The parent graph of an absolute value function is y = |x|, which forms a V-shape.

Front

Identify the parent graph of a square root function.

Back

The parent graph of a square root function is y = √x, which starts at the origin and increases gradually.

Front

What is the parent graph of a reciprocal function?

Back

The parent graph of a reciprocal function is y = 1/x, which has two branches in the first and third quadrants.

Front

Identify the parent graph of a sine function.

Back

The parent graph of a sine function is y = sin(x), which oscillates between -1 and 1.

Front

What is the parent graph of a cosine function?

Back

The parent graph of a cosine function is y = cos(x), which also oscillates between -1 and 1, starting at (0,1).

Front

Identify the parent graph of an exponential function.

Back

The parent graph of an exponential function is y = a^x (where a > 0), which increases rapidly as x increases.