We'll represent Louise's, Tammy's, Delores's, and Sheryl's point values with ,
,
, and
respectively since each one is 1 point more than the last.
Add all of these values up and set it all equal to .
Now, simplify.
Subtract on both sides.
Divide both sides by .
Since Louise's score is , the answer is
.
To verify our answer, add the point totals ,
,
, and
.
This equals , so we can be sure the answer is correct.
Option A: It is vertically stretched
Option B: it is shifted down
Solution:
The exponential function undergoes two transformations to
.
<u>To determine how the graph changes:</u>
Consider the given exponential function .
Let y = f(x)
Vertically compressed or stretched:
A vertically compression (stretched) of a graph is compressing the graph toward x-axis.
• if k > 1 , then the graph y = k• f(x) , the graph will be vertically stretched by multiplying each y coordinate by k.
• if 0 < k < 1 if 0 < k < 1 , the graph is f(x) vertically shrunk (or compressed) by multiplying each of its y-coordinates by k.
• if k should be negative, the vertical stretch or shrink is followed by a reflection across the x-axis.
Here, k = 5
So the graph will be vertically stretched.
Also, Adding 3 to the graph will move the graph 3 units down so, the graph is shifted down.
So, The graph is shifted down.
Hence option A and option B is the correct answer.