Re-write the quadratic function below in Standard Form y=-2(x+4)^(2)+4 Answer: y=

Expand and Distribute: To rewrite the quadratic function in Standard Form, we need to expand the squared term and distribute the -2 across the terms inside the parentheses. y = -2(x + 4)² + 4 y = -2(x² + 8x + 16) + 4Distribute -2: Now, distribute the -2 to each term inside the parentheses. y = -2 * x² - 2 * 8x - 2 * 16 + 4 y = -2x² - 16x - 32 + 4Combine Constant Terms: Combine the constant terms to simplify the equation. y = -2x² - 16x - 28Final Standard Form: The quadratic function is now in Standard Form, which is y = ax² + bx + c.

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Re-write the quadratic function below in Standard Form

y=-2(x+4)^(2)+4
Answer:
y=

Re-write the quadratic function below in Standard Form $\newline$ $y=-2(x+4)^{2}+4$ $\newline$ Answer: $y=$

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Q. Re-write the quadratic function below in Standard Form

\newline

y=-2(x+4)^{2}+4

\newline

Answer:

y=

Expand and Distribute: To rewrite the quadratic function in Standard Form, we need to expand the squared term and distribute the $-2$ across the terms inside the parentheses. $\newline$ $y = -2(x + 4)^2 + 4$ $\newline$ $y = -2(x^2 + 8x + 16) + 4$
Distribute $-2$ : Now, distribute the $-2$ to each term inside the parentheses. $\newline$ $y = -2 \times x^2 - 2 \times 8x - 2 \times 16 + 4$ $\newline$ $y = -2x^2 - 16x - 32 + 4$
Combine Constant Terms: Combine the constant terms to simplify the equation. $\newline$ $y = -2x^2 - 16x - 28$
Final Standard Form: The quadratic function is now in Standard Form, which is $y = ax^2 + bx + c$ .