The red graph is given as $F(x) = x^2$, which represents a standard parabola with its vertex at the origin (0, 0). The blue graph has the same shape as the red graph, which means it is also a parabola, but it is horizontally shifted.

Since the blue parabola is shifted to the left, its equation will take the form $G(x) = (x - h)^2$, where $h$ is the horizontal shift of the vertex. By observing the graph, we see that the vertex of the blue parabola is at $(-3, 0)$. Hence, the equation of the blue graph becomes:

$G(x) = (x + 3)^2$

This equation represents the same parabola as $F(x) = x^2$, but shifted 3 units to the left.

Would you like further details or have any questions?

Here are five related questions you might find helpful:

1. How do horizontal and vertical shifts affect the equation of a parabola?
2. What is the general form of a quadratic function?
3. How would the equation change if the blue graph was vertically shifted instead?
4. How can you find the vertex of a parabola from its equation?
5. What other transformations can be applied to parabolas?

Tip: When comparing the shapes of parabolas, focus on the vertex position and symmetry around the axis to determine any shifts or transformations.