Which statement correctly describes the relationship between the graph of f(x) and g(x)=f(x+2) ?
2 answers:
Answer:
Option D.
Step-by-step explanation:
The transformation of a function is defined as
.... (1)
Where, k is stretch factor, a is horizontal shift and b is vertical shift.
If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
The given relationship between two function is
.... (2)
On comparing (1) and (2) we get
h=2> 0, so the graph of g(x) is the graph of f(x) translated 2 units left.
Therefore, the correct option is D.
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Answer: Choice A.
=====================================================
Explanation:
Every point in the shaded region has an x coordinate that is equal to -7 or smaller.
Example points include
- (-8, 0)
- (-10, 2)
- (-9, -5)
The y coordinate does not matter. All that matters is the x coordinate. The boundary line is the equation x = -7, representing all points that have x coordinate of -7. The solid boundary line says to the reader "any point on this boundary line is part of the shaded region solution set". This inclusion is due to the "or equal to" of the inequality sign.
Answer:
(b)
Step-by-step explanation:
Let E: Event of getting a 3 in the spinner.
So, the number of favorable outcomes = 11
Total number of outcomes = Number of times the outcomes is {1,2,3,4,5,6}
= {13 +10 +11+16+11} = { 61}
So, the total number of outcomes = 61
So, here