What is the the vertex of y=−x2−4x−10?

1 Answer
Sam
May 27, 2016

The vertex is at the point (-2,-6)

Explanation:

The equation of the parabola is given by:

y=a(x−h)2+k

The vertex of the parabola is at the point (h,k)

Rearrange the equation y=−x2−4x−4−6

y=(−x2−4x−4)−6
y=−(x2+4x+4)−6
y=−(x+2)2−6
y=−(x−(−2))2−6

h=−2 and k=−6

Vertex is at (−2,−6)

graph{-x^2-4x-10 [-6.78, 3.564, -9.42, -4.25]}

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