2. The quadratic function $$ y=9-x^{2}+4 x $$ written in standard form would be: $$ \begin{array}{ll} ext { (1) } y=-x^{2}+4 x+9 & ext { (3) } y=x^{2}-4 x+9 \ ext { (2) } y=x^{2}-9 x+4 & ext { (4) } y=-x^{2}-4 x+9\end{array} $$

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2. The quadratic function $$ y=9-x^{2}+4 x $$ written in standard form would be: $$ \begin{array}{ll}	ext { (1) } y=-x^{2}+4 x+9 & 	ext { (3) } y=x^{2}-4 x+9 \ 	ext { (2) } y=x^{2}-9 x+4 & 	ext { (4) } y=-x^{2}-4 x+9\end{array} $$

UpStudy AI · Accepted Answer

Step 1: Start with the function  
$$
y=9-x^2+4x.
$$

Step 2: Rewrite the function by rearranging the terms in descending powers of $$ x $$:  
$$
y=-x^2+4x+9.
$$

Step 3: Compare the rewritten function with the provided options. The correct standard form is  
$$
y=-x^2+4x+9,
$$  
which corresponds to option (1).
The standard form of the quadratic function is $$ y = -x^2 + 4x + 9 $$, which is option (1).

2. The quadratic function \( y=9-x^{2}+4 x \) written in standard form would be: \( \begin{array}{ll}\text { (1) } y=-x^{2}+4 x+9 & \text { (3) } y=x^{2}-4 x+9 \\ \text { (2) } y=x^{2}-9 x+4 & \text { (4) } y=-x^{2}-4 x+9\end{array} \)

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