Which exponential function goes through the points (1, 16) and (4, 128)?

Here is the complete question (attachment).

The function which represent the given points are

Step-by-step explanation:

We know that a general exponential function is like,

We can find the answer by hit and trial method by plugging the values of coordinates.

Here we are going to solve this with the above general formula.

So as the points are then for

Can be arranged in terms of the general equation.

...equation(1) and ...equation(2)

Plugging the values in equation 2.

We have

Plugging in equation 1.

We have

Comparing with the general equation of exponential and

So the function which depicts the above points =

From theoption we have B as the correct answer.

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: