Concept explainers
a)
To determine whether the parabola opens upward or downward.
a)
Answer to Problem 14OE
Parabola opens upward
.Explanation of Solution
Given information :
Given equation
We know that the graph of the equation
The coordinates of the vertex is given by
Axis of symmetry is given by the value of
Now we compare the given equation with the standard equation, we get,
Here the value of
Axis of symmetry is
b)
The coordinates of the vertex.
b)
Answer to Problem 14OE
Coordinates of the vertex is (-1, -2)
.Explanation of Solution
Given information :
Given equation
We know that the graph of the equation
The coordinates of the vertex is given by
Axis of symmetry is given by the value of
Now we compare the given equation with the standard equation, we get,
.
And
Therefore the coordinates of the vertex is (-1, -2)
c)
The equation of the axis of symmetry.
c)
Answer to Problem 14OE
Axis of symmetry is
Explanation of Solution
Given information :
Given equation
We know that the graph of the equation
The coordinates of the vertex is given by
Axis of symmetry is given by the value of
Now we compare the given equation with the standard equation, we get,
And
Therefore the coordinates of the vertex is (-1, -2)
Axis of symmetry is
Chapter 7 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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