26.7k views
5 votes
Is this a cubic graph?

Is it a reflection of its parent graph?
This graph shifted _ by _ units

Is this a cubic graph? Is it a reflection of its parent graph? This graph shifted-example-1
User Wellie
by
9.0k points

1 Answer

3 votes

Answer:

we conclude that the given graph is a cubic function and is translated by shifting 2 units to the left.

Thus, the graph is shifted left by 2 units.

The graph of the parent function f(x)=x³ and f(x+2) = f(x+2)² is shown below.

Explanation:

If we carefully analyze the given graph, it is clear that the given graph is the transformed image of form f(x+b) of parent cubic graph f(x) = x³.

In this graph, the function f(x) has been moved over 2 units to the left.

In order to shift a function 2 units to the left, we need to add '2' inside the function's input.

In other words,

f(x+2) = f(x+2)² means the function f(x) is shifted 2 units to the left.

Therefore, we conclude that the given graph is a cubic function and is translated by shifting 2 units to the left.

Thus, the graph is shifted left by 2 units.

The graph diagram of the parent function f(x)=x³ and f(x+2) = f(x+2)² is shown

below.

  • The red graph is representing f(x)=x³
  • The blue graph is representing f(x+2) = f(x+2)²
Is this a cubic graph? Is it a reflection of its parent graph? This graph shifted-example-1
User Omi Harjani
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories