Mathematics: Write a function G whose graph represents the indicated transformation of the graph f vertical stretch by a factor of 3

Write a function G whose graph represents the

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16.03.2022

G(x) = 2x^2+6 .

Step-by-step explanation:

The given function is

$f(x) = \frac 2 3 x^2 +2$

On vertical stretch by a factor of 3, the new function G(x) is

G(x) = 3 f(x)

So, $G(x) = 3 \times ( \frac 2 3 x^2 +2)= 2x^2+6$

Hence, the required function is G(x) = 2x^2+6 .

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