Question Examples Re-write the quadratie funetion below in Standard Form $$ y=-2(x-4)^{2}+8 $$ Answer Altempt 1 om of al $$ y= $$ $$ \square $$ Bubmiit Answer

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1. Start with the given function:
   $$
   y = -2(x-4)^2 + 8
   $$

2. Expand the squared term:
   $$
   (x-4)^2 = x^2 - 8x + 16
   $$

3. Multiply each term inside the parentheses by $$-2$$:
   $$
   -2(x^2 - 8x + 16) = -2x^2 + 16x - 32
   $$

4. Add the constant $$8$$:
   $$
   y = -2x^2 + 16x - 32 + 8
   $$

5. Combine like terms:
   $$
   y = -2x^2 + 16x - 24
   $$

The quadratic function written in standard form is:
$$
y = -2x^2 + 16x - 24
$$
The quadratic function in standard form is: $$ y = -2x^2 + 16x - 24 $$

Question Examples Re-write the quadratie funetion below in Standard Form \[ y=-2(x-4)^{2}+8 \] Answer Altempt 1 om of al \[ y= \] \( \square \) Bubmiit Answer

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