Question 2 Let \( f(a)=2^{2} \) be the parent function. Let \( g(x)=2^{9+0} \) be a transformation of the parent function. Describe the change from the parent function. Ots shift up 6 units shift left 6 units shift right 6 units shift down 6 units
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The transformation of the parent function \( f(a) = 2^2 \) to \( g(x) = 2^{9 + 0} \) involves raising the exponent from 2 to 9. This indicates a vertical shift upwards in the graph, moving it 7 units up since \( 9 - 2 = 7 \). So, your original function gets a boost, stretching it higher on the y-axis! Think of this transformation as giving \( f(a) \) a little pep talk—it's not just standing there anymore; it’s reaching up towards the sky! The new function becomes steeper and moves higher, which could also reflect in real-world scenarios like exponential growth in populations or finances where growth rates can significantly alter outcomes.