Re-write the quadratic function below in Standard Form y=-(x+2)^(2)+1 Answer: y=

Expand Squared Term: Expand the squared term in the equation y=-(x+2)²+1. To expand (x+2)², we use the formula (a+b)² = a² + 2ab + b². Here, a=x and b=2, so (x+2)² = x² + 2*x*2 + 2².Calculate Expanded Form: Calculate the expanded form of (x+2)². (x+2)² = x² + 4x + 4Substitute into Equation: Substitute the expanded form of (x+2)² into the original equation. y = - (x² + 4x + 4) + 1Distribute Negative Sign: Distribute the negative sign to each term inside the parentheses. y = -x² - 4x - 4 + 1Combine Constant Terms: Combine the constant terms -4 and +1. y = -x² - 4x - 3

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Re-write the quadratic function below in Standard Form

y=-(x+2)^(2)+1
Answer:
y=

Re-write the quadratic function below in Standard Form $\newline$ $y=-(x+2)^{2}+1$ $\newline$ Answer: $y=$

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Quadratic equation with complex roots

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

\newline

y=-(x+2)^{2}+1

\newline

Answer:

y=

Expand Squared Term: Expand the squared term in the equation $y=-(x+2)^2+1$ . To expand $(x+2)^2$ , we use the formula $(a+b)^2 = a^2 + 2ab + b^2$ . Here, $a=x$ and $b=2$ , so $(x+2)^2 = x^2 + 2\times x\times 2 + 2^2$ .
Calculate Expanded Form: Calculate the expanded form of $(x+2)^2$ . $(x+2)^2 = x^2 + 4x + 4$
Substitute into Equation: Substitute the expanded form of $(x+2)^2$ into the original equation. $\newline$ $y = - (x^2 + 4x + 4) + 1$
Distribute Negative Sign: Distribute the negative sign to each term inside the parentheses. $\newline$ $y = -x^2 - 4x - 4 + 1$
Combine Constant Terms: Combine the constant terms $-4$ and $+1$ . $y = -x^2 - 4x - 3$