Question

Which of the following is a vertical stretch of the parent function ?

Which of the following is a horizontal stretch of the same parent function?
answer
first
y+4x2 squared

second
y= (1/2x) 2 squared

Answer 1

The graph of y = (1/2x)² is positioned horizontally while the graph of (y + 4)2 is a vertical stretch of the parent function.

How to determine the positioning

Vertical Positioning refers to the up-down movement of a point or curve relative to the y-axis. It is measured in units along the y-axis. Positive values for y indicate movement up from the origin while negative values for y indicate movement down.

Horizontal stretch occurs when a graph is stretched horizontally, making it wider or narrower compared to the original function. This stretches the x-axis while the y-axis remains unchanged. This is seen in the equation, y = (1/2x)².