Question

The graph f(x)=x^22 was transformed to create the graph g(x)=−(3x)^2

Which statement describes this transformation?


a reflection over the x-axis and a vertical compression

a reflection over the y-axis and a vertical compression

a reflection over the x-axis and a horizontal compression

a reflection over the y-axis and a horizontal compression

Answer 1

F. A reflection over the x-axis and a horizontal stretch

Explanation:

Using Desmos, a well-known graphing-calculator website, you can input the two equations. You can see that the h(x)= -(x/4)^2 equation does in-fact reflect over the x-axis and is wider than x^2, meaning that it has a horizontal stretch.