The graph of g (x) = x^2 was transformed to create the graph of h (x) = - (x/4) ^2. Which of these describes the transformation from the graph of g to the graph of h?

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

G. A reflection over the y-axis and a horizontal stretch

H. A reflection over the x-axis and a vertical stretch

J. A reflection over the y-axis and a vertical stretch

Question

Mathematics

Issac Mcbride

13 September, 20:37

The graph of g (x) = x^2 was transformed to create the graph of h (x) = - (x/4) ^2. Which of these describes the transformation from the graph of g to the graph of h?

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

G. A reflection over the y-axis and a horizontal stretch

H. A reflection over the x-axis and a vertical stretch

J. A reflection over the y-axis and a vertical stretch

+3

Answers (1)

Know the Answer?

Gavin Mccann · Answer 1

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

Step-by-step 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.