Answer:
Choice A: stretched horoxontally by a factor of 2 and translated up by 3 units
Explanation:
The original graph is:
y = log(x)
The modified one is:
y = log(2x) + 3
We can note that 2 changes occured:
1- A 3 has beed added to the whole gaph. This means that the curve has been moved (translated) upwards by 3 units
2- The x inside the log is miltiplied by 2. This means that the graph is stretched horizontally by the factor added (2).
Combining these two, we will find that the correct choice is A
Hope this helps :)
Answer: A
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
You can get there a couple of ways. One makes use of the secant rules that tell you ...
PQ × PR = PS × PT
Substituting for PR and PT, you have ...
PQ × (PQ + QR) = PS × (PS + ST)
PQ² + PQ×QR = PS² + PS×ST
Substituting PQ for PS everywhere, we have ...
PQ² + PQ×QR = PQ² + PQ×ST
Dividing by PQ gives ...
PQ + QR = PQ + ST
and subtracting PQ leads us to the conclusion ...
QR = ST
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Another way to look at it is to draw the chord QS. Then ΔQPS is an isosceles triangle, and the perpendicular bisector of QS bisects ∠P and also goes through the circle center. Then the figure is symmetrical about that diameter secant, making QR ≅ ST.
