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In a large mixing bowl, beat the room temperature cream cheese with powdered sugar and vanilla extract using an electric mixer on medium speed until smooth and creamy.
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In a separate bowl, beat the chilled heavy whipping cream until stiff peaks form (this usually takes about 3-4 minutes with an electric mixer).
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Gently fold the whipped cream into the cream cheese mixture until everything is well combined and smooth. If using, fold in the sour cream for added richness and tang.
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Pour the cheesecake filling over the chilled graham cracker crust, smoothing it into an even layer. Use a spatula to ensure the top is level.
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Refrigerate the cheesecake for at least 4 hours, or ideally overnight, to allow it to set.