The second graph is correct. Because the first equation is <= -x-1, it must fall under that line: only the second and fourth graphs do so. The second equation, >=2x+4, means it must fall above that line: only the second and third graphs do so.
Answer:
translated left by 6 units
Step-by-step explanation:
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then shift left of a units
• If a < 0 then shift right by a units
g(x) = (x + 6)² + 3
Indicating a shift of f(x) to the left by 6 units
Answer:
Third graph
Step-by-step explanation:
First, find the solution to the equation of inequality given.
2k + 8 < 5k - 1
Subtract 5k from both sides
2k + 8 - 5k < 5k - 1 - 5k
-3k + 8 < -1
Subtract 8 from both sides
-3k + 8 - 8 < -1 - 8
-3k < -9
Divide both sides by -3. (Note: < will change to > when dividing both sides with negative number)
>
k > 3
The graph that will represent this solution will show that all values of k are greater than 3. 3 is not included as a solution. The "o" on top of the 3 on the number line won't be shaded to indicate that 3 is not included. And also, the arrow will point from 3 towards our right.
Therefore, the 3rd graph is the answer.