Equation: 4 + 4x + x²
Maxima: No maximum value from said equation
Minima: x = -2 since that is the only critical point in the equation
Answer:
<h2><em><u>
y = -x - 1</u></em></h2>
Step-by-step explanation:
The line is going in a negative direction. This means that the line is negative. The slope is -1. The y- intercept is the coordinate (0,-1). SO the equation is y = -x - 1.
Answer:
y = -5x Y8
Step-by-step explanation:
Parallel lines have the same slope.
Your function is
y = 9 − 5x = -5x+ 9
slope = -5
The parallel line
The line must have slope = -5 and include (0, 8), so
8 = -5×(0) + b
8 = 0 + b
b = 8
The equation for the parallel line is
y = -5x + 8
In the diagram below, the red line is the graph of y = 9 -5x.
The parallel blue line is the graph of y = -5x + 8.
Answer:
Step-by-step explanation:
(4 + 6) x 4 - 3
10 x 4 -3
40 -3
37
Answer:
f
(
x
)
=
−
1
2
x
2
+
3
x
−
1
2
Explanation:
A quadratic function can be written in vertex form as:
f
(
x
)
=
a
(
x
−
h
)
2
+
k
where
(
h
,
k
)
is the vertex and
a
is a constant multiplier.
In our example the vertex
(
h
,
k
)
is
(
3
,
4
)
, so we can write:
f
(
x
)
=
a
(
x
−
3
)
2
+
4
Given that this passes through the point
(
1
,
2
)
, we must have:
2
=
a
(
1
−
3
)
2
+
4
=
4
a
+
4
Subtract
4
from both ends to get:
−
2
=
4
a
Divide both sides by
4
and transpose to find:
a
=
−
1
2
So our quadratic function can be written in vertex form as:
f
(
x
)
=
−
1
2
(
x
−
3
)
2
+
4
We can multiply this out and simplify as follows:
f
(
x
)
=
−
1
2
(
x
−
3
)
2
+
4
f
(
x
)
=
−
1
2
(
x
2
−
6
x
+
9
)
+
4
f
(
x
)
=
−
1
2
x
2
+
3
x
−
9
2
+
4
f
(
x
)
=
−
1
2
x
2
+
3
x
−
1
2
Step-by-step explanation:
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