Question
What is the y-value of the vertex of 4x2 + 8x-8?
Answers
GPT 3.5
To find the y-value of the vertex of the quadratic equation 4x^2 + 8x - 8, we first need to find the x-value of the vertex.
The x-value of the vertex of a quadratic equation in the form of ax^2 + bx + c can be found using the formula x = -b / 2a.
In this case, a = 4 and b = 8, so x = -8 / (2 * 4) = -1.
Now that we have the x-value of the vertex, we can substitute it back into the original equation to find the y-value.
y = 4(-1)^2 + 8(-1) - 8
y = 4(1) - 8 - 8
y = 4 - 8 - 8
y = -12
So, the y-value of the vertex of the quadratic equation 4x^2 + 8x - 8 is -12.
The x-value of the vertex of a quadratic equation in the form of ax^2 + bx + c can be found using the formula x = -b / 2a.
In this case, a = 4 and b = 8, so x = -8 / (2 * 4) = -1.
Now that we have the x-value of the vertex, we can substitute it back into the original equation to find the y-value.
y = 4(-1)^2 + 8(-1) - 8
y = 4(1) - 8 - 8
y = 4 - 8 - 8
y = -12
So, the y-value of the vertex of the quadratic equation 4x^2 + 8x - 8 is -12.