Which statement best describes the effect on the graph of y = (x – 9)2 if the equation is changed to y = (x + 9)2? The graph moves up 18 units. The graph moves down 18 units. The graph moves left 18 units. The graph moves right 18 units.
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Answer:
The graph moves left 18 units.
Hello. I hope this helps you.
Step-by-step explanation:
Whatever the graph of y = f(x) looks like, the graph of y = f(x - h) is the same thing shifted right h units, and the graph of y = f(x+h) is the same thing shifted left h units.
What you have here is the result of adding 18 to x, and this is a shift left 18 units.
What makes confusion possible here is that if you plot it, it looks the same as moving it up 18 units. But that's because it's a straight line so many different movement have the same effect on the picture. But analytically, since the change is being presented as a change to x, the movement is best thought of as one in the x direction.
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