Answer:
Option (2)
Step-by-step explanation:
Parent function has been given as,
f(x) = 
When translated by 3 units left,
f(x + 3) = 
g(x) =
If the translated function is stretched vertically by a scale factor = k
New function will be,
g'(x) = 
Since a point (1, 4) passes lies on the transformed function.
g'(1) = 
4 = 2k
k = 2
Therefore, transformed function represents the translation by 3 units in the negative side of the x-axis and stretched vertically by 2 units.
Option (2) will be the answer.
Answer:
[-20.25;+∞).
Step-by-step explanation:
1) according to the properties of the given parabola the minimum is:
2) y₀=-20.25 means, the value -20.25 is minimum of the range, the maximum →+∞;
3) finally, the range y≥-20.25.
Answer:
-7
Step-by-step explanation:
21 ÷ (4+3) - 10
=> 21 ÷ (7) - 10
=> 3 - 10
=> -7
Let x= original number
equation: 2x+24=2/7 x
move 2x over to the other side of the equation to get 24=-12/7 x. Then, multiply both sides of the equation by -7/12 to isolate the variable.
The final answer should be x=-14
