Describe the transformation of the graph y = -(x-4)^3 +5

Mathematics

1 answer:

eduard2 years ago

8 0

Reflected across the x-axis
shift right 4 units
shift up 5 units

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Step-by-step explanation:

First, determine if the graph has a maximum or a minimum value. Since the graph opens downwards, it has a <u>maximum</u> value.

The maximum is the point that has the greatest y value. We can see that the greatest y value is at $y=2$ . Going down two units from that spot, we can see that the x value is at $x=1$ . We can plug those into the vertex form, $(x,y)$ . By plugging in we get the point $(1,2)$ .