Question
y=x2+8x-6 what is the vertex
Answers
Answered by
GPT 3.5
To find the vertex of the quadratic equation y = x^2 + 8x - 6, we can use the formula x = -b/2a.
In this equation, a = 1 (coefficient of x^2) and b = 8 (coefficient of x).
Plugging these values into the formula, we get:
x = -8/(2*1)
x = -8/2
x = -4
To find the value of y at x = -4, we substitute this value into the original equation:
y = (-4)^2 + 8(-4) - 6
y = 16 - 32 - 6
y = -22
Therefore, the vertex of the quadratic equation y = x^2 + 8x - 6 is (-4, -22).
In this equation, a = 1 (coefficient of x^2) and b = 8 (coefficient of x).
Plugging these values into the formula, we get:
x = -8/(2*1)
x = -8/2
x = -4
To find the value of y at x = -4, we substitute this value into the original equation:
y = (-4)^2 + 8(-4) - 6
y = 16 - 32 - 6
y = -22
Therefore, the vertex of the quadratic equation y = x^2 + 8x - 6 is (-4, -22).
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