Question

Is this correct?????

Answer 1

Yes it’s correct :)

Answer 2

Answer:
`\bold{a)\quad g(x)=\bigg((1)/(4)\bigg)\bigg5^(x-3)+2}`

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|<1\\\bullet \text{b is a horizontal stretch (or compression)}\\\bullet \text{c is the horizontal shift to right (if positive) and left (if negative)}\\\bullet \text{d is the vertical shift up (if positive) and down (if negative)}`

Vertically compressed by one-fourth: a =
`(1)/(4)`

Shifted right three units: c = 3

Shifted up two units: d = 2

`\large\boxed{g(x)=\bigg((1)/(4)\bigg)\bigg5^(x-3)+2}`