The standard form of a parabola's equation is y = ax^2 + bx + c.

To convert the vertex form y = 2(x + 3)^2 - 5 to standard form, you need to expand the equation:

Step 1: Expand (x + 3)^2. This gives x^2 + 6x + 9.

Step 2: Multiply the result by 2 (the coefficient of (x + 3)^2 in the original equation). This gives 2x^2 + 12x + 18.

Step 3: Subtract 5 from the result (as per the original equation). This gives 2x^2 + 12x + 13.

So, the standard form of the equation is y = 2x^2 + 12x + 13.

Question

The standard form of a parabola's equation is y = ax^2 + bx + c.

To convert the vertex form y = 2(x + 3)^2 - 5 to standard form, you need to expand the equation:

Step 1: Expand (x + 3)^2. This gives x^2 + 6x + 9.

Step 2: Multiply the result by 2 (the coefficient of (x + 3)^2 in the original equation). This gives 2x^2 + 12x + 18.

Step 3: Subtract 5 from the result (as per the original equation). This gives 2x^2 + 12x + 13.

So, the standard form of the equation is y = 2x^2 + 12x + 13.

Knowee AI · Accepted Answer

The standard form of a parabola's equation is y = ax^2 + bx + c.

To convert the vertex form y = 2(x + 3)^2 - 5 to standard form, you need to expand the equation:

Step 1: Expand (x + 3)^2. This gives x^2 + 6x + 9.

Step 2: Multiply the result by 2 (the coefficient of (x + 3)^2 in the original equation). This gives 2x^2 + 12x + 18.

Step 3: Subtract 5 from the result (as per the original equation). This gives 2x^2 + 12x + 13.

So, the standard form of the equation is y = 2x^2 + 12x + 13.

The vertex form of the equation of a parabola is y = 2(x + 3)2 - 5.What is the standard form of the equation?