Tutor profile: Kirsten M.
How do I find the y-intercept of a parabola?
A parabola is a quadratic function in the form f(x) =ax^2 + Bx +c or y=mx + b. To find the y-intercept in the first of these forms, simply set x=0 and solve for f(x), which is equivalent to y. To find the y-intercept in the second form, all you need to do is again set x =0. "b" here is actually your y-intercept and "m" is your slope.
How do I combine two independent clauses? What are my options?
You have three options when dealing with two closely related concepts. First, you can keep things simple and write two, short simple sentences. Second, you can combine these two concepts using a conjunction (such as and, for, nor, but) and a comma. Third, you can use a semicolon and omit the conjunction. For example. two sentences: The big dog snarled at me. He ran away when I yelled at him. Comma/conjunction: The big dog snarled at me, but he ran away when I yelled at him. Semicolon: The big dog snarled at me; he ran away when I yelled at him. In this example, your best option would be the second one (comma/conjunction). Note that there are other options available, which are plays on the different basic options. For example, you could write: The big dog snarled at me; however, he ran away when I yelled at him. Notice here the use of a semicolon after "me," and comma after "however." There are a few conjunctions, such as however and nonetheless, that use this "; conjunction," format when joining two independent clauses.
When multiplying, in a quadratic equation, such as in factoring or simplifying, how do I handle exponents?
Exponents in an equation are added when you multiply to or more parts. For example, if you have the following: (2x^2) times (4x^3), your answer would be 4 times 2 = 8; x^2+3 = x^5 for a final answer of 8x^5
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