In the case of exponential functions, the graph is shifted when a constant is added to the exponent of the constant. The original equation, f(x) is:
f(x) = (1/2)ˣ
Now, when horizontal shifting is occurring, the equation is:
y = Cˣ⁺ᵃ
If a is positive, the graph shifts to the lefts and the shift is equal to a units. If a is negative, the graph shifts to the right and the shift is equal to a units. Therefore, to shift the graph 3 units to the left:
g(x) = (1/2)⁽ˣ⁺³⁾
The correct answer is B.
Divide by 4 on both sides of the equations
Mode: ( The number seem the most )
14. 240
15. 3 and 9
16. 60
Range: ( The biggest and smallest number subtracted )
14. 330-210=120
15. 11-3=8
16. 65-57=8
Answer:
Step-by-step explanation:
Given is a graph of a parabola.
We have to find the equation of the paabola.
We observe from the graph the following points.
i) Vertex is (0,0)
ii) Open downward
iii) Axis of symmetry is y axis or x=0
iv) It passes through (1,4)
The parabola will be of the form
Substitute x=1 and y =4, to find a
1 = -4a(4)
a =
Hence equation would be
