Question
What is the y -value of the vertex of 4x^2 + 8x-8?
y=
explain your answer
y=
explain your answer
Answers
GPT 3.5
To find the y-value of the vertex of a quadratic equation in the form of y = ax^2 + bx + c, we can use the formula y = c - (b^2/4a).
In this case, the equation is 4x^2 + 8x - 8.
a = 4
b = 8
c = -8
Substitute these values into the formula:
y = -8 - (8^2 / 4*4)
y = -8 - 64 / 16
y = -8 - 4
y = -12
Therefore, the y-value of the vertex of the quadratic equation 4x^2 + 8x - 8 is -12.
In this case, the equation is 4x^2 + 8x - 8.
a = 4
b = 8
c = -8
Substitute these values into the formula:
y = -8 - (8^2 / 4*4)
y = -8 - 64 / 16
y = -8 - 4
y = -12
Therefore, the y-value of the vertex of the quadratic equation 4x^2 + 8x - 8 is -12.