Parent Graph Identification

Front

What is a parent graph?

Back

A parent graph is the simplest form of a function that serves as a template for creating more complex graphs. It represents the basic shape of a family of functions.

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 passing 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 with its vertex at the origin.

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 and passes through the origin.

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 with its vertex at the origin.

Tags

CCSS.HSF-IF.C.7D

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 to the right.

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, approaching the axes but never touching them.

Tags

CCSS.HSF-IF.C.7D

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 with a period of 2π.

Tags

CCSS.HSF-IF.C.7E

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 1 when x = 0.

Tags

CCSS.HSF-IF.C.7E

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 for positive x and approaches zero for negative x.

Tags

CCSS.HSF-IF.C.7E