Question

1. which transformation is applied if a quadratic function ( y = x^2 ) is changed to ( y = 2x^2 )?

a. vertical shift
b. horizontal compression
c. vertical stretch
d. horizontal stretch

Explanation:

For a parent quadratic function $y=x^2$, when transformed to $y=ax^2$ where $a>1$, it scales the output values vertically, stretching the graph away from the x-axis. This fits the definition of a vertical stretch.

Answer:

c. Vertical stretch