Question

Is this correct ??????

Answer 1

Answer: $\bold{b)\quad g(x)=\bigg(\dfrac{1}{2}\bigg)\bigg5^{x+3}-2}$

Step-by-step explanation:

$f(x)=a(5)^{b(x-c)}+d\\\bullet \text{a is a vertical stretch if }|a|>1\ \text{and a vertical compression if }|a|$

Vertically compressed by one-half:  a = $\dfrac{1}{2}$

Shifted left three units: c = -3

Shifted down two units: d = -2

$g(x)=\bigg(\dfrac{1}{2}\bigg)\bigg5^{x-(-3)}-2$

$\large\boxed{g(x)=\bigg(\dfrac{1}{2}\bigg)\bigg5^{x+3}-2}$