Please help me!! Determine whether the sequence of mapping rules will lead to the image being congruent to the pre-image (x, y) -> (x - 2, y)

No or yes if yes then is it a translation or reflection, if no then will it be small or with the size of the pre image be changed?

Is there an x intercept in the equation 60*1.15^x

The input to the function is x and the output is y. write the function such that x can be a vector (use element-by-element operations). a) use the function to calculate y(-1.5) and y(5). b) use the function to make a plot of the function y(x) for -2 ≤ x ≤ 6.

Which of the following are independent events? a) knowing that it is going to rain tomorrow, and bringing an umbrella to schoolb) knowing that you have to get up early tomorrow, and going to bed before 9 p.mc) knowing that it is going to rain tomorrow, and going to bed before 9 p.md) knowing that you have a test in school tomorrow, and studying thw night before