Question

How to change vertex form to standard form __________?

Options:
A) Simplify the equation
B) Add or subtract constants
C) Multiply or divide coefficients
D) Rearrange terms

Answer 1

To change a quadratic equation from vertex form to standard form, you need to simplify the equation and rearrange the terms.

Step-by-step explanation:

To change a quadratic equation from vertex form to standard form, you need to simplify the equation and rearrange the terms.

Here are the steps:

1. Expand the squared term in the vertex form equation.
2. Simplify the equation by combining like terms.
3. Rearrange the terms to get the equation in the standard form: Ax^2 + Bx + C = 0, where A, B, and C are constants.

For example, let's say we have the equation y = a(x - h)^2 + k in vertex form.

To change it to standard form, we can follow these steps:

1. Expand the squared term: y = ax^2 - 2ahx + ah^2 + k.
2. Combine like terms: y = ax^2 - 2ahx + (ah^2 + k).
3. Rearrange the terms: y - (ah^2 + k) = ax^2 - 2ahx.
4. Finally, rewrite the right side in the standard form: y - (ah^2 + k) = ax^2 - 2ahx + 0.

Now, the equation is in standard form: ax^2 - 2ahx + 0 = 0.

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