Solve the equation for
t
t
by finding
a
a
,
b
b
, and
c
c
of the quadratic then applying the quadratic formula.
t
=
10
−
h
+
√
h
2
−
20
h
+
160
10
t
=
10
-
h
+
h
2
-
20
h
+
160
10
t
=
10
−
h
−
√
h
2
−
20
h
+
160
10
Given the dataset

We start by computing the average:

We compute the difference bewteen each element and the average:

We square those differences:

And take the average of those squared differences: we sum them

And we divide by the number of elements:

Finally, we take the square root of this quantity and we have the standard deviation:

The point (x1,y1) on the graph of f(x) is the point (x1-a,y1) for the function
f(x+a)
(-8,-7)=(x1,y1)→x1=-8, y1=-7
f(x-4)=f(x+a)→a=-4
(x1-a, y1)=(-8-(-4), -7)=(-8+4, -7)=(-4,-7)
<span>The corresponding point for the fuction f(x -4) is (-4,-7)</span>
Solving for (x,y)
(x-y=8)
(x=y-8) & (y=x-8)
solving for (y,x)
(2y=2x-16)
(y=x-8)&(x=y+8)