Convert y = 2(x - 5)^2 - 10 to standard form.

Answer 1

To convert the equation \( y = 2(x - 5)^2 - 10 \) to standard form, we need to expand the expression.

1. Start with the equation: \[ y = 2(x - 5)^2 - 10 \]

2. Expand \((x - 5)^2\): \[ (x - 5)^2 = x^2 - 10x + 25 \]

3. Substitute back into the equation: \[ y = 2(x^2 - 10x + 25) - 10 \]

4. Distribute the 2: \[ y = 2x^2 - 20x + 50 - 10 \]

5. Combine like terms: \[ y = 2x^2 - 20x + 40 \]

Now the equation is in standard form \( y = ax^2 + bx + c \), where \( a = 2 \), \( b = -20 \), and \( c = 40 \).

Thus, the standard form of the equation is: \[ y = 2x^2 - 20x + 40 \]

Answer 2

The 20 is incorrect