Answer:
(-1, -3)
Explanation:
The standard form of a quadratic function is
y = ax² + bx + c
The vertex form is
y = a(x - h)² + k
where (h, k) is the vertex of the parabola.
h = -b/(2a) and k = f(h)
In the equation y= -4x² - 8x -7
a = -4; b = -8; c = -7
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Calculate h
h = -(-8)/[2(-4)]
h = 8/(-8)
h = -1
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Calculate k
k = -4(-1)² -8(-1) -7
k = -4 +8 -7
k = -3
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The vertex is at (-1, -3).
The graph is an inverted parabola with its vertex at (-1, -3).