The parent function f(x) = x3 is transformed to g(x) = (x – 1)3 + 4. Identify the graph of g(x).
2 answers:
Answer:
The graph of g(x) will be shifted 4 units up and 1 unit to the right
Step-by-step explanation:
The parent function f(x) = x^3 is transformed to g(x) = (x – 1)^3 + 4
Parent function f(x)= x^3
If any number is added at the end then the graph will be shifted up
If any number is subtracted from x then graph will be shifted right
f(x)----> f(x) + a (shifted 'a' units up)
f(x) ----> f(x-a) (shifted 'a' units right)
g(x) = (x – 1)^3 + 4
The graph of g(x) will be shifted 4 units up and 1 unit to the right
the graph is attached below
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Answer:
See attachment.
Step-by-step explanation:
The given functions are:
and g(x)=-1
To find the x-value of the point of intersection of the two functions, we equate the two functions and solve for x.
The graph that shows the input value for which f(x)=g(x) is the graph which shows the point of intersection of f(x) and g(x) to be at x=-2.
<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>
Options:
A. Both the Highlands and the Lowlands data points are evenly distributed around the center.
B. Both the Highlands and the Lowlands data points are clustered toward the left of the plot.
C. The Highlands data points are evenly distributed around the center, while the Lowlands data points are clustered toward the left of the plot.
D. The Highlands data points are clustered toward the left of the plot, while the Lowlands data points are evenly distributed.
Answer:
B. Both the Highlands and the Lowlands data points are clustered toward the left of the plot.
Step-by-step Explanation:
From the dot plots displaying rainfall totals for highland and lowland areas as shown in the diagram attached below, we can clearly observe that most of the dots on the plot tend to be more concentrated towards the left of the plot, compared to the concentration of dots toward the right of the plot.
Invariably, we can infer that data points for lowlands and Highlands are clustered toward the left of the plot.
Therefore, the statement that is true, comparing the shapes of the dot plot is B. "Both the Highlands and the Lowlands data points are clustered toward the left of the plot."
Answer:
AB = DC
Step-by-step explanation:
Applying the information provide in the attached diagram , The statement that can deduce the line segments to be parallel is : AB = DC
when M2 = M3
attached below is the missing diagram as related to this question above
