The vertex form of the equation of a parabola is y = 2(x + 3)2 - 5.What is the standard form of the equation?A.y = 2x2 + 12x + 13B.x = 2y2 + 5y + 9C.y = 2x2 + 5x + 9D.y = 4x2 + 4x + 4SUBMITarrow_backPREVIOUS
Question
The vertex form of the equation of a parabola is y = 2(x + 3)2 - 5.What is the standard form of the equation?A.y = 2x2 + 12x + 13B.x = 2y2 + 5y + 9C.y = 2x2 + 5x + 9D.y = 4x2 + 4x + 4SUBMITarrow_backPREVIOUS
Solution
The standard form of a quadratic equation is y = ax^2 + bx + c. To convert the vertex form y = 2(x + 3)^2 - 5 to standard form, we need to expand the equation.
Step 1: Expand the equation y = 2(x^2 + 6x + 9) - 5
Step 2: Distribute the 2 y = 2x^2 + 12x + 18 - 5
Step 3: Simplify the equation y = 2x^2 + 12x + 13
So, the standard form of the equation is y = 2x^2 + 12x + 13. Therefore, the answer is A. y = 2x^2 + 12x + 13.
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