Answer: y=1/2x+5/2
Step-by-step explanation:
y-3=1/2 (x-1)
y-3(-3)=1/2x-1/2(+3)
y=1/2x-1/2+6/2
y=1/2x+5/2
hope this helped!!
F(x)=3x+1 (preimage)
g(x)=x+1 (image)
it is undergoing a reduction/compression with translation.
In general, a linear transformation is
g(x) = a*f(bx-h)+k
h=horizontal translation (right if h>0, left if h<0, note formula has minus sign)
k=vertical translation (up if k>0, down if k<0)
a=vertical stretching, (stretching if |a|>1, compression if |a|<1, also, if a<0, a reflection across the x-axis is performed)
b=horizontal stretching (|b|>0 compression, |b|<0 stretching, also, if b<0, a reflection across the y-axis is performed)
In this case,
g(x)=f(x/3), so it is a horizontal stretching.
Note that the y-intercept remains unchanged.
So your equation is E=10h.
We know E is equal to 1 so let's plug that is.
1=10h
Now we just solve it.
1=10h Divide each side by 10
.1=h
Boom!
She has to work .1 hours or 1/10 of an hour to earn 1 dollar.
Hope I helped!
1.That there is still slavery in the word. CNN 10 reporters caught on film a slave trade in Africa
2. Extra information is adding more information in your sentence to make it seem more interesting
Answer:
Step-by-step explanation:
First we can determine the x value of our vertex via the equation:

Note that in general a quadratic equation is such that:

In this case a,b and c are the coefficients and so a=1, b=6 and c=13.
Therefore we can determine the x component of the vertex by plugging in the values known and so:

Now we can determine the y-component of our vertex by plugging in the x-component to the equation and so:

Therefore our vertex is (-3,4). Now in vertex our x component determines is the axis of symmetry so the equation for axis of symmetry is:
x=-3
Similarly, the y-component of our vertex is the minimum or maximum. In this case it is the minimum you can determine this because a is positive meaning that the parabola will point up, and so the equation for the minimum is:
y=4
The range of the formula is the smallest y-value meaning the minimum y=4 and all real numbers that are more than 4, mathematically:
Range = All real numbers greater than or equal to 4.