the correlation coefficient r between a child's age, x, and the number of minutes spent doing homework each day, y, is 0.694. Wh
at percent of the variation in the number of minutes doing homework cannot be explained by difference in the children's ages?
1 answer:
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9514 1404 393
Answer:
D: all real numbers
R: f(x) > 0
A: f(x) = 0
(-∞, 0), (+∞, +∞)
vertical stretch by a factor of 2; left shift 2 units
Step-by-step explanation:
The transformation ...
g(x) = a·f(b(x -c)) +d
does the following:
- vertical stretch by a factor of 'a'
- horizontal compression by a factor of 'b'
- translation right by 'c' units
- translation up by 'd' units
For many functions, horizontal coordinate changes are indistinguishable from vertical coordinate changes. Exponential functions tend to be one of those.
__
Using the above notation, you seem to have f(x) = 3^x, and g(x) = 2f(x+2). The transformation is a vertical stretch by a factor of 2, and a translation left 2 units.
__
As with all exponential functions, ...
- the domain is "all real numbers"
- the range is all numbers above the asymptote: f(x) > 0
- the horizontal asymptote is f(x) = 0
The function is a growth function, so ...
- x → -∞, f(x) → 0
- x → ∞, f(x) → ∞
_____
<em>Additional comment</em>
The left shift is equivalent to an additional vertical stretch. The function could be rewritten as ...
f(x) = 18(3^x)
with no left shift and a vertical stretch by a factor of 18 instead of 2.
Answer:
A
Step-by-step explanation:
Consider the parent function The graph of this function is represented as red graph in attached diagram.
Now consider the function
Remind main translations of the graph of the function
- translation a units to the right;
- translation a units to the left;
- translation a units up;
- translation a units down.
In your case, the graph of the function is translated graph of the function
2 units to the left (blue graph). So, correct answer is option A.
