SOLUTION: Find the equation of the parabola when the x intercept is -6, y intercept is 36 and axis of symmetry is x=-6.
Can you please help me? Thanks so much in advance
Algebra.Com
Question 703933: Find the equation of the parabola when the x intercept is -6, y intercept is 36 and axis of symmetry is x=-6.
Can you please help me? Thanks so much in advance
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The only way that both the x-intercept and
the axis of symmetry can is if the
parabola just touches the x-axis and thus
only has 1 solution- called a double root.
--------------
If the y intercept is positive, that tells me
the parabola has a minimum and not a maximum.
--------------
If the form is:
The roots ( x-intercepts ) are given by:
When there is a double root,
---------------
The y-intercept occurs at ( 0,36 ), so
---------------
The x-coordinate of the axis of symmetry is at
By substitution:
and, since
-----------
The equation is
Here's the plot:
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