Question

Use the graph to write the equation of the quadratic function in vertex form.
(3, 2)

y = -1/2(x - m)^2 + d

what is the value of m and d

Answer 1

To write the equation of a quadratic function in vertex form, we use the template:

\[ y = a(x - m)^2 + d \]

where \((m, d)\) is the vertex of the quadratic function and \(a\) determines the direction and width of the parabola.

From the information given, the vertex coordinates \((m, d)\) are \((3, 2)\).

Here, we can determine:

- \(m = 3\)
- \(d = 2\)

So substituting these values into the vertex form of the quadratic equation, we have:

\[ y = -\frac{1}{2}(x - 3)^2 + 2 \]

Thus, the values are:
- \(m = 3\)
- \(d = 2\)