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Answer:
16. B
17. B
Step-by-step explanation:
16. The intercept form of the parabola is
where are two x-intercepts.
In your case,
so
To find <em>a</em>, substitute coordinates of the point (-6,-4) parabola is passing through
and
17. The vertex form of the parabola equation is
where <em>(h,k)</em> are the coordinates of the vertex and sign "-" because parabola goes down.
In your case, vertex is (2,3), so
The vertex is 3 units from the focus, then
The equation of the parabola is
Domain: Set of all real numbers
If you want to express the domain in set-builder notation, then you'd write something like
which is fancy notation to basically say "x is any real number"
If you want to write the domain in interval notation, then you'd write
which is the interval from negative infinity to positive infinity. In other words, the entire real number line.
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The domain is the set of all real numbers because we don't have any restrictions to worry about. There are no division by zero errors. There are no cases where we have to worry about taking the square root of a negative number, or anything similar. Any number can replace x to generate an output for y.
If you want to express the domain in set-builder notation, then you'd write something like
If you want to write the domain in interval notation, then you'd write
-----------------------------------------------------------------
The domain is the set of all real numbers because we don't have any restrictions to worry about. There are no division by zero errors. There are no cases where we have to worry about taking the square root of a negative number, or anything similar. Any number can replace x to generate an output for y.