102k views
3 votes
A quadratic function f(x) has been transformed using g(x) =kf(x) and k=-2. What effect does the transformation haye on f(x) ?

User Renis
by
9.2k points

1 Answer

6 votes

Final answer:

The transformation g(x) = -2f(x) reflects the graph of f(x) across the x-axis and stretches it vertically by a factor of 2.

Step-by-step explanation:

When a quadratic function f(x) is transformed using the function g(x) = kf(x) with k = -2, it means that the function g(x) is a reflection of the original function f(x) across the x-axis. The negative value of k (-2) indicates that each point on the graph of f(x) will be reflected downward by a factor of 2 units.

For example, if the vertex of the parabola representing f(x) is (2, 3), the corresponding vertex of g(x) will be (2, -6). The shape of the parabola remains the same, but it is reflected downward.

So, the transformation g(x) = -2f(x) reflects the graph of f(x) across the x-axis and stretches it vertically by a factor of 2.

User Usama Majid
by
8.2k points
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