Making the Lemon Raspberry Swirl can be easy if you follow these detailed steps:

1. Preheat your Oven: Set your oven to 325°F (160°C) to prepare for baking.
2. Prepare the Crust: In a medium bowl, combine crushed graham crackers with 1/4 cup sugar and melted butter. Mix well and press into the bottom of a 9-inch springform pan. Bake for 10 minutes, then let cool.
3. Make the Cheesecake Filling: In a large mixing bowl, cream the softened cream cheese with 3/4 cup sugar until smooth.
4. Add Lemon: Mix in the lemon juice, lemon zest, and vanilla extract, ensuring an even consistency.
5. Incorporate Eggs: Gradually add the eggs, mixing just until combined. Avoid overmixing to keep the cheesecake’s texture intact.
6. Swirl in Raspberries: Gently fold in the fresh raspberries or raspberry puree, creating a swirl effect without fully blending.
7. Pour Mixture: Pour the cheesecake mixture over the cooled crust and smooth the top with a spatula.
8. Bake: Place in the oven and bake for about 30 minutes, or until the center is set and only slightly jiggly.
9. Cool: Remove from the oven and allow to cool at room temperature. Once cooled, cover with plastic wrap and refrigerate for at least 1 hour before serving.
10. Dust with Powdered Sugar: Before serving, lightly dust the top with powdered sugar to enhance presentation.

These steps will guide you through a delightful journey of creating an exquisite Lemon Raspberry Swirl, captivating both flavor and appearance.