Answer:
C. F(x) = 2(x-2)²+2
Step-by-step explanation:
This graph was changed by a vertical and horizontal shift because the graph moved over and up
- A vertical shift would be when a constant is added to the output, resulting in the graph moving up or down: y = f(x) + k
- A horizontal shift would be when a constant is added to the input, resulting in the graph moving left or right: y = f(x + h)
With this information we can determine how the graph was transformed
- Looking at the graph, the origin is now at (2,2) instead of (0,0)
- We can see that the graph moved to the right h units, indicating a horizontal shift 2 units to the right
- We can also see that the graph moved up k units, indicating a vertical shift 2 units upward
Our equation for f(x) should be in the form y = a(x + h)² + k
- Substituting in all our known values, we get the equation:
- F(x) = 2(x-2)²+2
Firstly expand it: 50k + 5 + 4 + 16k
Collect like terms: (50k + 16K) + (5 + 4)
Simplify: 66k + 9.
Answer:
100,000,000
Step-by-step explanation:
10*10=100*10=1000*10=10000*10=100000*10=1000000*100=100,000,000
6.32ft per inch (rounded to the hundredth place).
You can get this number by dividing the total number of feet by the total number of inches
Answer:
y=(8/9)x + 4 and 2/3
Step-by-step explanation:
the slope of this line:
change in y/change in x
change in y=6-(-2)=8
change in x=-6-3=-9
change in y/change in x= 8/9
8/9 is the slope, so you plug it in for m in the standard form equation. You then use one point's x and y values to substitute for x and y in the equation, and solve for b, which is the y intercept
y=mx+b
y=(8/9)x+b
-2=(8/9)*3+b
-2=8/3+b
-4 and 2/3=b
