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Mathematics

Grade10

Easy

Question

The area of a square is given by $A equals s squared$ , where $s$ is a side length of the square. How does the graph of the function change when you double the side length of the square?

Vertical stretch with $k = 2$
Vertical compression with $k = 2$
Horizontal compression with $k = 2$
Horizontal stretch with $k = 2$

The correct answer is: Horizontal compression with $k equals 2$

Given function $A equals f left parenthesis s right parenthesis equals s squared$
When the side of the square is doubled then the new function becomes $A to the power of straight prime equals g left parenthesis s right parenthesis equals f left parenthesis 2 s right parenthesis equals left parenthesis 2 s right parenthesis squared$
The new function is horizontal compression with $k equals 2 greater than 1$

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