If (c) were f(k) = -3/k+2, what value of k would be excluded from the domain?
1 answer:
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Answer: Perpendicular.
Step-by-step explanation:
If you multiply the slopes together you will get -1:
<em>Parallel means they have the same slope, so that is easily ruled out here.</em>
The vertex of the parabola is given by :
.
So,
is the first coordinate of the vertex, which means it is also the point where the line of symmetry passes.
The line of symmetry divides the parabola into 2 symmetrical parts: the x-intercepts are also symmetrical to each other with respect to this line.
So, if one of the x-intercepts is
, that is 3 units to the right of the x-intercept, the other must be 3 units to the left. Thus, the second x-intercept is :
Answer:
,
So,
The line of symmetry divides the parabola into 2 symmetrical parts: the x-intercepts are also symmetrical to each other with respect to this line.
So, if one of the x-intercepts is
Answer: