Given y = (2x + 3)², choose the standard form of the given quadratic equation.

Solution:

Quadratic equations have a degree two and are shown as a parabola on the graph.

The given equation is

y = (2x + 3)²

We know that the standard form of a quadratic equation is

ax² + bx + c = 0

Let us use the algebraic identity (a + b)² = a² + b² + 2ab

y = 4x² + 9 + 12x

We can write it as

y = 4x² + 12x + 9

Where a = 4, b = 12 and c = 9

Therefore, the standard form of the given quadratic equation is y = 4x² + 12x + 9.

Given y = (2x + 3)², choose the standard form of the given quadratic equation.

Summary:

Given y = (2x + 3)², the standard form of the given quadratic equation is y = 4x² + 12x + 9.