Q(x)=2P(2x)n the equation shown above, Q and P are functions. If (x0,y0) is a point on the graph of y=Q(x), which of the following is a point on the graph of y=P(x) ?(x0,y0)(2x0,2y0)(2x0,2y0)(2x0,2y0)
Q. Q(x)=2P(2x)n the equation shown above, Q and P are functions. If (x0,y0) is a point on the graph of y=Q(x), which of the following is a point on the graph of y=P(x) ?(x0,y0)(2x0,2y0)(2x0,2y0)(2x0,2y0)
Calculate y-value on y=P(x): Since y0=Q(x0), we have y0=2P(2x0). To find the corresponding y-value on y=P(x), we need to find P(2x0).
Multiply by 2: We can multiply both sides of y0=2P(2x0) by 2 to get 2y0=P(2x0). This gives us the y-value of the point on y=P(x) when x is 2x0.
Find corresponding point: Therefore, the corresponding point on the graph of y=P(x) is (2x0,2y0).
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