Question

given a(x)=8^x, if a(x) is vertically stretched by a factor of 4 and reflected across the y axis, what is the new expression of a(x)?

Answer 1

Vertical stretch by 4: multiply the function by 4 → 4·8^x.

Reflect across the y-axis: replace x with −x → 4·8^(−x).

So the new function is a(x) = 4·8^(−x), which can also be written as 4·(1/8)^x or 4 / 8^x.