Answer:
(0,0)
Step-by-step explanation:
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.
Answer:
X=5.66 or 5.65685424949
Y=4
Step-by-step explanation:
Since this is a 45,45,90 triangle, the y is also 4.
Then the x is y^2+4^2.
That means that it is 16+16=32
Now you have to square 32 which gives you 5.66
Answer:
n = -5.792 ≈ - 5.80
Step-by-step explanation:
The question denotes,
1/32 ÷ √3 = 2^n
Solving for n,
- 1/32 * 1/√3 = 2^n
- 0.018042 = 2^n
Taking log on both sides,
- log (0.018042) = log(2^n)
Rewrite it as,
Transposing log(2) to the RHS,
- n = log(0.018042)/log(2)
- n = -5.792 ≈ -5.80