For this case the main function is:
f (x) = x ^ 2
We are going to apply the following transformations:
Vertical translations
Suppose that k> 0:
To graph y = f (x) + k, move the graph of k units up.
We have then:
f (x) = x ^ 2 + 5
Horizontal translations
Suppose that h> 0
To graph y = f (x + h), move the graph of h units to the left.
We have then:
f (x) = (x + 1) ^ 2 + 5
Answer:
f (x) = (x + 1) ^ 2 + 5
Answer:
2:1
Step-by-step explanation:
The original ratio is 4:2. Divide both sides by 2. Then you get 2:1.
Answer:
1. 4 as that is when he is closest.
2. 3 is when he is waiting as the graph is horizontal showing no movement
3. 4 would change as that is showing his pace walking home if it increased the slope would become steep but if it decreased it would level out more.
Step-by-step explanation:
Answer:
B. 1 and D. 3.
Step-by-step explanation:
The figure below shows the graphs of f(x) = 3x - 1 (red) and g(x) = 2^x (blue).
The solutions of 3x - 1 = 2^x are the points at which the two curves intersect.
The solutions are at x = 1 and x = 3.
Check:
3 × 1 - 1 = 2¹ 3 × 3 -1 = 2³
3 - 1 = 2 9 - 1 = 8
2 = 2 8 = 8
Answer:
160, 160, 200, 200
Step-by-step explanation:
All you have to do is double the numbers.