Question

Which equation describes how the parent function, y = x cubed, is vertically stretched by a factor of 4?
y = x cubed + 4
y = (x + 4) cubed
y = 4 x cubed
y = x Superscript 4

Answer 1

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refer the attachment

Answer 2

The equation that describes how the parent function, y = x³, is vertically stretched by a factor of 4, is y = 4x³. (option 3rd)

• Vertical stretch means the base graph is multiplied by some factor greater than 1. For example, let a given function be y = f(x), then it will be said that this function is vertically stretched by a factor of 'a' (say) when y = af(x), that is, f(x) is multiplied by 'a'.
• Here, we have the function y = x³, and we need to stretch it vertically by a factor of 4. So, this can be simply done by multiplying the function (x³) by 4.
• Therefore, the equation representing vertical stretching of y = x³ by a factor of 4, will be y = 4x³.