The type of parent function for 𝑓(𝑥)=𝑥^2 is B. Quadratic.

Here's why:

1. A parent function is the simplest function of a family of functions that preserves the definition (or shape) of the family.

2. For 𝑓(𝑥)=𝑥^2, the graph is a parabola. This is the characteristic shape of quadratic functions.

3. Therefore, 𝑓(𝑥)=𝑥^2 is a quadratic function.

So, the answer is B. Quadratic.

Question

The type of parent function for 𝑓(𝑥)=𝑥^2 is B. Quadratic.

Here's why:

1. A parent function is the simplest function of a family of functions that preserves the definition (or shape) of the family.

2. For 𝑓(𝑥)=𝑥^2, the graph is a parabola. This is the characteristic shape of quadratic functions.

3. Therefore, 𝑓(𝑥)=𝑥^2 is a quadratic function.

So, the answer is B. Quadratic.

Knowee AI · Accepted Answer

The type of parent function for 𝑓(𝑥)=𝑥^2 is B. Quadratic.

Here's why:

1. A parent function is the simplest function of a family of functions that preserves the definition (or shape) of the family.

2. For 𝑓(𝑥)=𝑥^2, the graph is a parabola. This is the characteristic shape of quadratic functions.

3. Therefore, 𝑓(𝑥)=𝑥^2 is a quadratic function.

So, the answer is B. Quadratic.

Which type of parent function is 𝑓(𝑥)=𝑥2f(x)=x 2 ?A.Square rootB.QuadraticC.Cube rootD.LinearSUBMITarrow_backPREVIOUS