# Determining the number of x-intercepts and the location of the vertex.

Without drawing the graph of the given equation, determine:

(a) how many x-intercepts the parabola has

(b) whether its vertex lies above or below the

x-axis.

y = -x^2 + 2x - 1

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#### Solution Preview

Y = -x^2+2x-1 = -(x-1)^2

So we know that the parabola has only ...

#### Solution Summary

For a given function, the number of x-intercepts and the location of the vertex is determined, without drawing the function.

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