To convert the equation y = 2x + 32 into standard form, we first recognize that the equation currently represents a linear expression rather than a quadratic one. A quadratic equation typically takes the form y = ax2 + bx + c.
However, if we assume you want to express this equation as a quadratic equation (for example, by adding a quadratic term), we could reframe it as follows:
Starting from the linear equation: y = 2x + 32
If we want to write it in a standard quadratic form, we can add a quadratic component:
y = 0x2 + 2x + 32,
Here, the coefficient for the x2 term is 0, which keeps it a linear equation but shows its potential to be represented in the quadratic format.
In standard form (which might mean reorganizing it), we might write:
0x2 + 2x – y + 32 = 0
Therefore, while the original equation is linear, by recognizing it in the context of quadratic forms, we’ve expressed it in a way that fits the standard structure with an understanding of its linearity.