Concept explainers
(a)
Find the vertex and axis of symmetry of
(a)
Answer to Problem 38WE
Vertex = (0,0)
Axis of symmetry : y = 0
Explanation of Solution
Calculation:
It is sideways parabola that opens to the negative side of the x -axis.
Hence its vertex is (0,0) and axis of symmetry is y = 0.
(b)
Find vertex and axis of symmetry of
(b)
Answer to Problem 38WE
Vertex = (2,0)
Axis of symmetry : y = 0
Explanation of Solution
Formula Used:
For the equation
Vertex = ( k , h )
Axis of symmetry : y = h
Calculation:
Comparing it with
k = 2
h = 0
So,
Vertex = ( k , h ) = (2,0)
Axis of symmetry : y = 0
(c)
Find vertex and axis of symmetry of
(c)
Answer to Problem 38WE
Vertex = (0,-1)
Axis of symmetry : y = -1
Explanation of Solution
Formula Used:
For the equation
Vertex = ( k , h )
Axis of symmetry : y = h
Calculation:
Comparing it with
k = 0
h = -1
So,
Vertex = ( k , h ) = (0,-1)
Axis of symmetry : y = -1
(d)
Find vertex and axis of symmetry of
(d)
Answer to Problem 38WE
Vertex = (2,-1)
Axis of symmetry : y = -1
Explanation of Solution
Formula Used:
For the equation
Vertex = ( k , h )
Axis of symmetry : y = h
Calculation:
Comparing it with
k = 2
h = -1
So,
Vertex = ( k , h ) = (2,-1)
Axis of symmetry : y = -1
(e)
Find vertex and axis of symmetry of
(e)
Answer to Problem 38WE
Vertex = (3,2)
Axis of symmetry : y = 2
Explanation of Solution
Formula Used:
For the equation
Vertex = ( k , h )
Axis of symmetry : y = h
Calculation:
Comparing it with
k = 3
h = 2
So,
Vertex = ( k , h ) = (3,2)
Axis of symmetry : y = 2
Chapter 7 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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