Answer: Thus, the equation of a function stretched vertically by a factor of 2 and then shifted 3 units up is y = 2f (x) + 6, and the equation of a function stretched horizontally by a factor of 2 and then shifted 6 units left is y = f ( (x - 6)) = f ( x - ). Example: f (x) = 2x2.
Step-by-step explanation:
Step-by-step explanation:
x² - 14x + 58
= (x - 7)² + 9.
Hence the vertex is (7, 9).
300 nata sell because of your new job and I don’t know
Answer:
The new points to the triangle will be:
Step-by-step explanation:
Because the reflection point is at 
, all x values will subtract their distances from to get their new values. The y values remain the same.
The starting values are:
Point 
is 5 units away from , so we'll subtract 5 from -1 to get the new x value: 
, so 
.
Point 
is also 5 unit away from , so we'll subtract 5 from -1 to get the new x value: , so 
.
Point 
is 7 units away from , so we'll subtract 7 from -1 to get the new x value: 
, so 
.
Answer:
129 points
Step-by-step explanation:
Let L and C represent the scores of Luke and Caleb, respectively.
L = 2C -15 . . . . . Luke scored 15 less than twice the number Caleb did
L +C = 201 . . . . . they scored 201 points altogether
Add twice the second equation to the first:
2(L +C) + (L) = 2(201) + (2C -15)
3L +2C = 387 +2C . . . . simplify
3L = 387 . . . . . . . . . . . . .subtract 2C
L = 387/3 = 129 . . . . . . .divide by 3
Luke scored 129 points.
