Answer:
C. Up.
Step-by-step explanation:
We have been given that the parent function
is transformed to the function
. We are asked to describe the given transformation.
Let us recall the transformation rules.
,
,
,
.
Upon comparing our transformed function with the parent function, we can see that the graph is shifted to left by 7 units and upwards by 5 units.
Therefore the correct choice is option C.
Cross multiply 3 times 125 and multiply 25 times x and you should get 375 equals 25x and then divide 375 and 25 and get
x=15
Answer:
ab
Step-by-step explanation:
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Answer:
(g+f)(x)=(2^x+x-3)^(1/2)
Step-by-step explanation:
Given
f(x)= 2^(x/2)
And
g(x)= √(x-3)
We have to find (g+f)(x)
In order to find (g+f)(x), both the functions are added and simplified.
So,
(g+f)(x)= √(x-3)+2^(x/2)
The power x/2 can be written as a product of x*(1/2)
(g+f)(x)= √(x-3)+(2)^(1/2*x)
We also know that square root dissolves into power ½
(g+f)(x)=(x-3)^(1/2)+(2)^(1/2*x)
We can see that power ½ is common in both functions so taking it out
(g+f)(x)=(x-3+2^x)^(1/2)
Arranging the terms
(g+f)(x)=(2^x+x-3)^(1/2) ..
9514 1404 393
Answer:
Step-by-step explanation:
The slope formula is useful for this.
m = (y2 -y1)/(x2 -x1)
__
<u>First line</u>:
m = (-9 -(-9))/(9 -(-6)) = 0/15 = 0
The slope of the first line is zero.
__
<u>Second line</u>:
m = (-5-1)/(4 -4) = -6/0 = undefined
The slope of the second line is undefined.
_____
It is always a good idea to apply a little critical thinking to the given information. Here, you observe that the y-coordinates of the first pair of points are the same. That means this is a horizontal line, with a slope of 0.
Similarly, you observe that the x-coordinates of the second pair of points are the same. That means this is a vertical line, with undefined slope.