The graphs below have the same shape. What is the equation of the red graph?
2 answers:
Answer: The correct option is
(C)
Step-by-step explanation: Given that both the graphs shown have the same shape.
We are to find the equation of the red graph.
From the picture, we note that the equation of the blue graph is
Also, the red graph is 2 units above the blue graph.
So, f(x) will be replaced by g(x) - 2 o find the equation for the red graph.
Therefore, we get from equation (i) that
Thus, the required equation of the red graph is
Option (C) is CORRECT.
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<span>Given the
table that shows the hair lengths y (in inches) of your friend and her cousin in different months x.
Month Friends Hair(in) Cousins Hair(in)
3 4 7
8 6.5 9.
To solve for the cousins hair, recall that the equation of a line is given by
y = mx + c
From the table,
7 = 3m + c . . . (1)
9 = 8m + c . . . (2)
(1) - (2) ⇒ -2 = -5m
Substituting for m into equation (1) gives:
Therefore, the equation representing the growth of the cousin's hair is given by y = 1.2x + 5.8
</span>
Month Friends Hair(in) Cousins Hair(in)
3 4 7
8 6.5 9.
To solve for the cousins hair, recall that the equation of a line is given by
y = mx + c
From the table,
7 = 3m + c . . . (1)
9 = 8m + c . . . (2)
(1) - (2) ⇒ -2 = -5m
Substituting for m into equation (1) gives:
Therefore, the equation representing the growth of the cousin's hair is given by y = 1.2x + 5.8
</span>