Question #91576
Q. Choose the correct answer.
Q. The vertex of parabola y=(-1)/2x2-x+4 is
a. (1,9/4)
b.( -1,9/4)
c. (9/2, -1)
d. (9/2, 9/2)
1
Expert's answer
2019-07-16T08:52:31-0400

The vertex of parabola y=12x2x+4y=-\frac{1}{2}{x^2}-x+4 is at (1,92)(-1,\frac{9}{2}). Thus, there is no correct answer in the list of variants a, b, c, d.


Explanation:

Here, a =12-\frac{1}{2}  and b = -1

So, the x -coordinate of the vertex is:

x=b2а=12(12)=11=1x = -\frac{b}{2а} = -\frac{-1}{2*(-\frac{1}{2})}=-\frac{-1}{-1}=-1.

Substituting in the original equation to get the

y -coordinate, we get:

y=12x2x+4=12(1)2(1)+4=12+1+4=4.5=92y=-\frac{1}{2}{x^2}-x+4 = -\frac{1}{2}{(-1)^2}-(-1)+4 = -\frac{1}{2} + 1 +4 = 4.5 = -\frac{9}{2}

Answer. The vertex of parabola y=12x2x+4y=-\frac{1}{2}{x^2}-x+4 is at (1,92)(-1,\frac{9}{2}). Thus, there is no correct answer in the list of variants a, b, c, d.


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