What changes when the parent function f(x)=x^2 is stretched by a positive factor?

Question

What changes when the parent function
`f(x)=x^2` is stretched by a positive factor?

Answer 1

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Answer:

• vertical stretch: the function value (f) is multiplied by the stretch factor
• horizontal stretch: the variable (x) is divided by the stretch factor

Explanation:

A stretch can be vertical, horizontal, or both.

Multiplying the function value by a factor greater than 1 will stretch the graph vertically.

Dividing the variable value by a factor greater than 1 will stretch the graph horizontally.

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The graph is stretched by the factor according to how it is applied.