Question

let f(x)=2/5x^2 -2. the function g(x) is a vertical stretch of f(x) by a factor of 2 what is the equation of g(x)?

Answer 1

Explanation:

2(
`(2)/(5)`
`x^(2)`-2)

The answer must be multiplied or it will be marked wrong, so the answer is

`(4)/(5) x^(2)`- 4

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Answer 2

g(x) = 4/5 x² - 4

Explanation:

∵ f(x) = 2/5 x² - 2

∵ f(x) stretched vertically by scale factor 2

∴ g(x) = 2[f(x)]

∴ g(x) = 2[2/5 x² - 2] = 4/5 x² - 4