How does the graph of f(x) 3(4)x-5 plus 23 relate to its parent function?

Answer 1

The graph of the function ( f(x) = 3(4^x) - 5 + 23 ) is a transformation of its parent function ( g(x) = 4^x ). The factor of 3 vertically stretches the graph, making it steeper, while the "+23" shifts it upward by 23 units. The "-5" appears to be an error in your expression, as it would typically indicate a downward shift; if included, it would offset the upward shift. Overall, the graph retains the exponential growth characteristic of the parent function but is altered in scale and position.