Here I have created sample that will help you out.
HTML
<div>
<table style="width: 50%; border: none">
<tr>
<td>
Enter Certifice No:
</td>
<td>
<asp:TextBox ID="txtCertificeNo" runat="server"></asp:TextBox>
</td>
<td>
<asp:Button ID="Button1" runat="server" Text="Button" OnClick="Button1_Click" />
</td>
</tr>
</table>
<div>
<asp:Image ID="ImageCertificate" runat="server" Visible="false" />
</div>
</div>
C#
protected void Button1_Click(object sender, EventArgs e)
{
ImageCertificate.ImageUrl = string.Format("Certificate/{0}", txtCertificeNo.Text);
ImageCertificate.Visible = true;
}
Screenshot
