Answer:
The graph of y = f(x) will shift left 6 units, as shown in figure a.
Step-by-step explanation:
A translation means we are able to move the graph of a function up or down - normally called Vertical Translation - and right or left - commonly called Horizontal Translation.
If we replace the graph of y = f(x) with the graph of y = f(x + 6). It means we have added 6 units to the input, meaning the graph y = f(x) will shift left by 6 units as 6 is being added directly to the x, so it is f(x + 6).
For example, if y = x² is the original function and of 6 is directly added to x i.e. f(x + 6), making it y = (x + 6)². So, we can easily observe that there will be a horizontal translation left of 8 units, as shown in figure a.
So, the graph of y = f(x) will shift left 6 units.
Keywords: graph shift, translation
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Answer:
$80,000
Step-by-step explanation:
Under a Comparative negligence theory, people involved in an accident are entitled to compensation according to their contributions towards the accident. In this case, Annette contributed 20% to the collision and, thus, should receive 100% - 20% of her total loss determined by the jury. Annette should be awarded:
Therefore, the jury should award Annette $80,000
Answer:
m = - 2
Step-by-step explanation:
First coordinate : ( -2 , 9 )
Second coordinate : ( 1 , 3 )
Formulae : m=(y2-y1)/(x2-x1)
Substituting,
m = ( 3 - 9 ) / ( 1 + 2 )
m = - 6 / 3
m = - 2
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One way you could share a segment chew friut worm is by giving every one 0.6 of the worm
Answer:
Step-by-step explanation:
Enter a problem...
Algebra Examples
Popular Problems Algebra Solve for x 64^(4x)=16^(x+1)
64
4
x
=
16
x
+
1
Create equivalent expressions in the equation that all have equal bases.
4
3
(
4
x
)
=
4
2
(
x
+
1
)
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
3
(
4
x
)
=
2
(
x
+
1
)
Solve for
x
.
Tap for fewer steps...
Multiply
4
by
3
.
12
x
=
2
(
x
+
1
)
Simplify
2
(
x
+
1
)
.
Tap for fewer steps...
Apply the distributive property.
12
x
=
2
x
+
2
⋅
1
Multiply
2
by
1
.
12
x
=
2
x
+
2
Move all terms containing
x
to the left side of the equation.
Tap for fewer steps...
Subtract
2
x
from both sides of the equation.
12
x
−
2
x
=
2
Subtract
2
x
from
12
x
.
10
x
=
2
Divide each term by
10
and simplify.
Tap for fewer steps...
Divide each term in
10
x
=
2
by
10
.
10
x
10
=
2
10
Cancel the common factor of
10
.
Tap for fewer steps...
Cancel the common factor.
10
x
10
=
2
10
Divide
x
by
1
.
x
=
2
10
Cancel the common factor of
2
and
10
.
Tap for fewer steps...
Factor
2
out of
2
.
x
=
2
(
1
)
10
Cancel the common factors.
Tap for fewer steps...
Factor
2
out of
10
.
x
=
2
⋅
1
2
⋅
5
Cancel the common factor.
x
=
2
⋅
1
2
⋅
5
Rewrite the expression.
x
=
1
5
The result can be shown in multiple forms.
Exact Form:
x
=
1
5
Decimal Form:
x
=
0.2
