College Algebra Exercises Section 3.1b

As you study these exercises, move your cursor over the light bulbs and the highlighted words.
Study with an active cursor

The definition that pops up when you move the cursor over a highlighted word is what should pop into your mind when you read, hear, or speak that word. The material that pops up when you move the cursor over a light bulb is a suggested strategy for solving the problem. You should always formulate a similar strategy when you attempt to solve a problem. When you move the cursor over an explanation of a step in a solution, the property that pops up is the mathematical justification for taking that action. You must always be able to provide such a justification for every step you take in mathematics.

For this set of exercises two solutions are provided for each problem.

The advantage of the first method is that the logic used will work in a wider range of problems than the second approach. The advantage of the second method is that it is a little quicker.

The major disadvantage of the second method is that it relies on the specialized formula (standard form) for a parabola and therefore is useful only in the special situation where it is desired to find a quadratic when given its vertex and another point on its graph.