Given the exponential function f(x)=-10^{x-1}+2, which of the following statements is not true.

The function is an exponential growth function with horizontal asymptote at y=2.

The function has a base of 10 .

The function is reflected over the x-axis and shifts horizontally 1 unit to the right.

The function is an exponential decay function with a reflection over the x-axis.

Step 1 ：The given function is \(f(x)=-10^{x-1}+2\).

Step 2 ：The base of the function is 10, which is positive, so the function is indeed an exponential function.

Step 3 ：The negative sign in front of the base indicates a reflection over the x-axis.

Step 4 ：The exponent \((x-1)\) indicates a horizontal shift to the right by 1 unit.

Step 5 ：The '+2' at the end of the function indicates a vertical shift up by 2 units, which means the horizontal asymptote is at y=2.

Step 6 ：The function is decreasing as x increases, which means it is an exponential decay function, not an exponential growth function.

Step 7 ：So, the statement 'The function is an exponential growth function with horizontal asymptote at y=2' is not true.

Step 8 ：\(\boxed{\text{The statement that is not true is 'The function is an exponential growth function with horizontal asymptote at y=2'}}\)