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?

h must be equal to - 2.

Step-by-step explanation:

See the attached graph.

The original function ........... (1) is plotted in the graph denoted by the blue curve.

And the translated curve to the original function i.e. ............ (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)

the answer is 62

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.