Jessica works between 12h and 18h per week at her part-time job. She earns $9.25 per hour. The function p(h) = 9.25h models the
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PART A
The equation of the parabola in vertex form is given by the formula,
where
is the vertex of the parabola.
We substitute these values to obtain,
The point, (3,6) lies on the parabola.
It must therefore satisfy its equation.
Hence the equation of the parabola in vertex form is
PART B
To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.
This implies that
We expand to obtain,
This will give us,
This equation is now in the form,
where
This is the standard form
The equation of the parabola in vertex form is given by the formula,
where
is the vertex of the parabola.
We substitute these values to obtain,
The point, (3,6) lies on the parabola.
It must therefore satisfy its equation.
Hence the equation of the parabola in vertex form is
PART B
To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.
This implies that
We expand to obtain,
This will give us,
This equation is now in the form,
where
This is the standard form