g(x) is basically transformed f(x). First, let's focus on f(x) graph. Notice how the graph has slope of 1 and intersect y-axis at (0,0).
Which means that our equation for f(x) is:
Now then we focus on g(x). g(x) is f(x+k). That means if f(x) = x then f(x+k) would mean substitute x = x+k in the equation.
Next, we want to find the value of k. In the slope-intercept form or y = mx+b where m = slope and b = y-intercept. Notice the g(x) graph and see that the graph intersects y-axis at (0,4). Therefore k = y-intercept = 4.
Answer
- g(x) = x+4
- Therefore the value of k is 4.
Good evening ,
Answer:
The graph is a line
Step-by-step explanation:
Look at the photo below for the details.
:)
Answer:
y + 1 = 4 (x + 3)
Step-by-step explanation:
The formula is y - y1 = m (x - x1), so you put the variables in to y1 and x1 plus add the slope in as m, and there you are! Point slope form.
Hope this helps!
Answer:
He would need to run 7 more times to meet his goal of 5 miles
The key to this question is calculating the percentage of students within each category (honor roll or non-honor roll) who received the class requested. We need to calculate the ratio of students who received the class they requested and who did not for both honor roll and non-honor roll students :
Honor Roll :
215 + 80 = 295 total honor roll students
215/295 = 72.88% = percentage of honor roll students who received class requested
80/295 = 27.12% = percentage of honor roll students who did not receive class requested
Non-Honor Roll :
125 + 80 = 205 total non-honor roll students
125/205 = 60.98% = percentage of non-honor roll students who received class requested
80/205 = 39.02% = percentage of non-honor roll students who did not receive class requested
72.88% of honor roll students received the preferred class as opposed to only 60.98% of non-honor roll students. Therefore, there is an advantage.
