Write the standard form of the equation of an exponential function Y equals 10^xthat has been reflected over the X axis shifted write three and down five

Step-by-step explanation:

The parent exponential function given to us is

If this function is reflected over the x-axis, shifted right 3 units and down 5 units, then it becomes:

This implies that:

where the negative multplier indicates reflection over x-axis, x-3, indicates shift to the right 3 units, and -5 indicates downward shift 5 units

Explanation:

To show that the circle A is similar to circle B you can use any set of transformations that preserve the angles: translations, reflections, rotations, dilations, and combinations of them are the transformations that meet the required conditions.

By translating the circle A such that the center of its image concide with the the center of the circle B, and then dilating it by a scale factor that dilates the radius to the same size of the radius of B, you will have shown that both circles are similar.

First, lets think about the translation. The center of the circle A (4,6) must be translated to the point (1,0), which is the center of the circle B.

That means that the coordinate 4 must be shifted 3 units to the left (x → x - 3), and the coordinate 6 must be shifted 6 units downward (y → y - 6). Then, the rule for the translation is (x - 3, y - 6).

Now, lets consider the dilation. The radius of circle A is 5 and tis image shall have a radius of 15, which is the radius of the circle B. That means that the dilation's scale factor is 15:5 = 3. So, dilate the circle A by a scale factor of 3.

Finally, the answer is: