ANSWER
EXPLANATION
The given parabola has directrix x=2.
This implies that, the parabola is opens in the direction of the negative x-axis because it must open in a negative direction to the directrix.
The equation of such parabola is of the form:
where (h,k)=(-5,8) is the vertex.
But the parabola opens to the left.
p=-7
The equation now becomes
Answer:
see below
Step-by-step explanation:
A discriminant value of zero means there is exactly one x-intercept. The graph below has that characteristic.
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<em>Comment on discriminant</em>
discriminant > 0, two (2) x-intercepts (first 2 graphs)
discriminant < 0, no (0) x-intercepts (third graph)
The graph of this parabola is shown below. From this graph we know that:
VERTEX:
DIRECTIX:
Since the vertex lies on the origin and the parabola opens upward, then the standard form of this parabola is:
So:
Then the directrix is:
