Public Class Form3

    Private Sub Button1_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles Button1.Click
        Me.Close()
    End Sub

    Private Sub Form3_Paint()
        Dim Graph1 As Graphics
        Dim Pen1 As New Pen(Color.Black, 2)
        Dim drawBrush As New SolidBrush(Color.Black)
        Dim drawFont As New Font("Arial", 10)
        Dim X, Y As Single
        Dim M As Integer
        Dim Size As Integer = 25
        Dim Quality As Integer = 300
        Graph1 = PictureBox1.CreateGraphics()
        Graph1.Clear(Color.White)
        'Печать шкал математической системы координат в компьютернеой системе координат
        For X = -150 To 150 Step 50
            Graph1.DrawString(X / Size, drawFont, drawBrush, X + 150, 80) 'Делим на масштаб
        Next
        For Y = 0 To 200 Step 50
            Graph1.DrawString((Y - 100) / Size, drawFont, drawBrush, 150, 180 - Y) 'Делим на масштаб
        Next
        'Преобразование компьютерной системы координат в математическую систему координат
        Graph1.ScaleTransform(1, -1) 'Поворот оси Y
        Graph1.TranslateTransform(150, -100) 'Сдвиг осей
        'Рисум оси
        Graph1.DrawLine(Pen1, -150, 0, 300, 0) 'Ось Х
        Graph1.DrawLine(Pen1, 0, -100, 0, 100)  'Ось Y
        For X = -150 To 150 Step 50 'Засечки на оси Х
            Graph1.DrawLine(Pen1, X, -5, X, 5)
        Next
        For Y = -100 To 100 Step 50 'Засечки на Y
            Graph1.DrawLine(Pen1, -5, Y, 5, Y)
        Next
        Try 'Отлавливаем ошибки
            M = Size 'М - масштаб
            For X = -1.5 * (100 / Size) To 1.5 * (100 / Size) Step 10 / Quality 'Шаг в знач. качества
                Y = Math.Sin(X)
                Graph1.DrawEllipse(Pen1, X * M, Y * M, 1, 1)
            Next X
        Catch 'Если произошла ошибка то делаем следующее:
            MsgBox("Произошла ошибка. Извините за неудобства", 48, "Ошибка!")
        End Try
    End Sub

    Private Sub Form3_Load(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles MyBase.Load
        AddHandler PictureBox1.Paint, AddressOf Me.Form3_Paint
    End Sub
End Class

Private Sub Button5_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles Button5.Click
        Dim Form3 As New Form3()

        Form3.Show()

    End Sub