Question

Write the equation of the quadratic function in the graph in standard form.
(3, -1)
(2 points)
Standard form of the quadratic is y=
𝑦
=
x2+
𝑥
2
+
x+
𝑥
+
.

Answer 1

(3, -1)

Answer 2

To write the equation of a quadratic function in standard form \( y = ax^2 + bx + c \) given a point on the graph, we need one additional piece of information, such as the vertex or another point, to determine the coefficients \( a \), \( b \), and \( c \).

However, since you've only provided the point (3, -1), we cannot determine a unique quadratic function. Quadratic functions can take many forms depending on their coefficients.

If you know more about the quadratic function, such as its vertex, the direction it opens, or another point it passes through, please provide that information. If not, we can express the function in terms of one of the coefficients.

For example, if we assume a simple case where we can choose \( a \), we could use the form:

1. Choose a value for \( a \) (let's say \( a = 1 \) for simplicity). Then we can express the quadratic as:
\[
y = (x - 3)(x - r)
\]
for some \( r \).

2. We could also assume \( (3, -1) \) is the vertex of the parabola, in which case the vertex form of a quadratic is:
\[
y = a(x - 3)^2 - 1
\]
where \( a \) determines the direction and width of the parabola.

Please provide further information to allow me to give you a specific quadratic equation in standard form.