Hi there!
For a line to be PARALLEL, it must contain the same slope.
The given line has a slope of 4, so we can use the point-slope formula to solve:
y1 = y-coordinate of given point
x1 = x-coordinate of given point
m = slope
Plug in the values:
Simplify:
Answer: The graph is shifted to the right by 5 units and shifted up from the parent function.
Step-by-step explanation:
1. By definition, a parent function is the simplest form of a function.
2. You have the following parent function given in the problem:
2. The function g(x) is obtained from the function f(x)
Where the subtraction of 5 indicates the horizotanl shift to the left and the addition of 2 indicates the vertical shift up.
3. Therefore, keeping the information above on mind, you can conclude that the answer is: the graph is shifted to the right by 5 units and shifted up from the parent function.