Answer:
Step-by-step explanation:
Given is the factored form of a quadratic function.
The standard form is:
Open parenthesis to convert it into standard form:
Answer:
Step-by-step explanation:
Keep in mind that the equation in standard form is y = ax² + bx + c
[Where "a, b, and c" are the constants.]
Simplify the distibutive property:
⇒ y = 3(x - 2)(x - 5)
⇒ y = (3x - 6)(x - 5)
Simplifying the R.H.S using the rule (a + b)(c - d) = ac - ad + bc - bd:
⇒ y = (3x - 6)(x - 5)
⇒ y = (3x² - 15x - 6x + 30)
⇒ y = (3x² - 21x + 30)
⇒ y = 3x² - 21x + 30
If possible, reorganize the equation in standard form:
⇒ y = 3x² - 21x + 30 (In standard form)
