Use the following information about quadratic functions to answer the question. When y = 2(x – 3)(x + 5) is written in standard form, what is the value of b?
Question
Use the following information about quadratic functions to answer the question. When y = 2(x – 3)(x + 5) is written in standard form, what is the value of b?
Solution
The standard form of a quadratic function is y = ax^2 + bx + c. To find the value of b, we need to expand the given equation y = 2(x – 3)(x + 5).
Step 1: Expand the equation y = 2(x^2 + 5x - 3x - 15) y = 2(x^2 + 2x - 15)
Step 2: Distribute the 2 y = 2x^2 + 4x - 30
So, the value of b in the standard form of the equation is 4.
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