The graph of f(x) = x^2 is horizontally stretched by a factor of 3, then shifted to the left 4 units and down 3 units.

foyerir

foyerir

Answered question

2022-09-05

The graph of f ( x ) = x 2 is horizontally stretched by a factor of 3, then shifted to the left 4 units and down 3 units.

Answer & Explanation

Gracelyn Paul

Gracelyn Paul

Beginner2022-09-06Added 17 answers

The intial function is
f ( x ) = x 2
On stretching horizontally by a factor of 3, the function becomes
f ( x ) = ( x 3 ) 2
On shifting the graph to the left by 4 units, the graph becomes,
f ( x ) = ( x + 4 3 ) 2
On shifting the graph downwards by 3 units, the graph becomes,
f ( x ) = ( x + 4 3 ) 2 3
Thus the final equation is:
f ( x ) = ( x + 4 3 ) 2 3

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?