Question

The graph shows the function f(x) = (2.5)^x was horizontally

translated left by a value of h to get the function g(x) = (2.5)^x h. What is the value of h?

Answer 1

its -2

Explanation:

Answer 2

h must be equal to - 2.

Explanation:

See the attached graph.

The original function
`f(x) = (2.5)^(x)` ........... (1) is plotted in the graph denoted by the blue curve.

And the translated curve to the original function i.e.
`f(x) = (2.5)^(x - h)` ............ (2) is plotted in the graph denoted by the red curve.

Now, the blue curve passes through the point (0,1) point and the red curve passes through the point (-2,1) point.

Therefore, the x-coordinate gets reduced by 2 units in the translated curve corresponding to a certain y-coordinate.

Therefore, h must be equal to - 2. (Answer)