Question

which of the following describes the transformations of g(x)=-(2)^×+4-2​ from the parent function f(x)=2^×

Answer 1

4 units to the left, reflected over the x-axis, shift two units down

Explanation:

The vertex form of an exponential function is

`y=ab^(x-h)+k`, where:

h indicates a horizontal shift (positive left, negative right)

k indicates a vertical shift (positive up, negative down)

a indicates slope/reflection over X-axis (negative = reflected)

So looking at the function
`g(x)=-(2)^(x+4)-2`

h = 4, meaning moved 4 units to the left

k= -2, meaning moved 2 units down

a= -1, meaning reflected over x-axis