<span>Example: x − 2 = 4</span>
When we put 6 in place of x we get:
6 − 2 = 4
which is true
So x = 6 is a solution.
If there’s a graph, draw a triangle and do rise/run.
If there are two given points use formula: (y2-y1)/(x2-x1) to find slope
Answer:
The parent function is y = x³.
After a vertical stretch by a factor of 3, obtain
y = 3x³
After a horizontal shift 4 unit to the right, obtain
y = 3(x - 4)³
After a vertical shift 3 units down, obtain
y = 3(x - 4)³ - 3
Answer: y = 3(x - 4)³ - 3
Given :
The Learning Center charges a one-time fee of $26 plus $10 per piano lesson.
Guitar lessons have a one-time fee of $36 plus $8 for each lesson.
To Find :
After how many lessons will the cost of learning to play piano be the same or more than learning to play guitar.
Solution :
Mathematical expression of piano lesson :

Mathematical expression of guitar lesson :

( Here, x and y are number of lessons )
Let, after t hours cost of learning to play piano be the same or more than learning to play guitar.
Now, given constraint :
Hence, this is the required solution.