Re-write the quadratic function below in Standard Formy, equals, 4, left parenthesis, x, plus, 2, right parenthesis, squared, minus, 4y=4(x+2) 2 −4

Question

Rewrite the quadratic function in Standard Form

Given the equation:

$4(x + 2)^2 - 4y = 4$

Please rewrite the quadratic function below in Standard Form.

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Solution

The given quadratic function is in vertex form, which is y = a(x - h)² + k. We need to rewrite it in standard form, which is y = ax² + bx + c.

Given function: y = 4(x + 2)² - 4

First, expand the squared term:

y = 4(x² + 4x + 4) - 4

Then distribute the 4:

y = 4x² + 16x + 16 - 4

Finally, simplify the constants:

y = 4x² + 16x + 12

So, the standard form of the given quadratic function is y = 4x² + 16x + 12.

This problem has been solved

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