Question 74437: Starting with the graph of f(x)= 7^x Write the equation of the graph that results from reflecting f(x) about the line y= -1 y= ? Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website! If you reflect the equation across the y=0 line you get this graph since each y value is now the opposite. If we're doing this across the y=-1 line, we get the same thing, but it's shifted. Since the graph hits the y-axis at (0,1) it is 2 units away from the line y=-1. So the intercept of the reflected graph is 2 units away from the line y=-1 (which is (0,-3). So the equation is since the general equation of a exponential function is where c+1 is the intercept (ie the intercept is (0,c+1). Since the entire thing is negated it looks like where c-1 is the intercept.
Equations (red) ,(dark blue), and the line of reflection y=-1 (green).
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