
Concept explainers
(a)
To show:
The equation of the parabola is of the given form.
(a)

Explanation of Solution
Given:
The equation of parabola
Vertical line if
Concept used:
The stabdard form of parabola equation
Putting
Where
Calculation:
The stabdard form of parabola equation
Putting
Where
Vertical line if
So the quadratic form is
Therefore a vertical line.
(b)
To show:
The quadratic function of the parabola is of the given form
(b)

Explanation of Solution
Given:
The equation of parabola
Vertical line if
Concept used:
The stabdard form of parabola equation
Putting
Where
Calculation:
The stabdard form of parabola equation
Putting
Where
Vertical line if
So the quadratic form is
Therefore two vertical line
(d)
To show:
The graph of the parabola is of the given form
(d)

Explanation of Solution
Given:
The equation of parabola
Vertical line if
Concept used:
The stabdard form of parabola equation
Putting
Where
Calculation:
The stabdard form of parabola equation
Putting
Where
Vertical line if
So the quadratic form is
Therefore no points of the parabola
(e)
To show:
The equation of the parabola is of the given form.
(e)

Explanation of Solution
Given:
The equation of parabola
Vertical line if
Concept used:
The stabdard form of parabola equation
Putting
Where
Calculation:
The stabdard form of parabola equation
Putting
Where
Vertical line if
So the quadratic form is
Therefore a vertical line.
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