HELP determine which function family these equations belong too?

Answers:

Explanation:

Exponential functions are of the form y = a*b^x. We can shift the graph up or down, so we can further write them into the form y = a*(b^x)+c. In this case, a = 4, b = 9, c = 2. The key is that the variable is in the exponent, which is why part A is an exponential function.

Part B is an absolute value function due to the vertical bars surrounding the "8x-3". The parent absolute value function is y = |x|. This current function g(x) = |8x-3| has been horizontally shifted and horizontally compressed.

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step-by-step explanation: