1. a statement that can be expressed in if-then form is a

a conditional statement.

Step-by-step explanation:

an if-then statement is also referred to as a conditional. "if" typically poses the condition, and "then" describes the outcome.

in the second question, any statement that does not contain the words "if" or "then" is immediately incorrect, because the question asks for a true conditional. a true conditional contains "if" and "then."

If you join the gym, then it is free for the first three months.

the hypothesis, or condition, is "you join the gym." the conclusion, or result, is that "it is free for the first three months." this means that the third choice is correct, as it lists the conclusion and hypothesis correctly. in the future, try and keep in mind that the hypothesis follows the word "if" and the conclusion follows the word "then."

Step-by-step explanation:

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.