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Now, let's get back to parabolas. There is a basic procedure we can always use to get a pretty good sketch of a parabola. Following it is.
1. Determine the vertex. We'll discuss how to determine this shortly. It's quite simple, but there are several methods for finding it and so will be discussed separately.
2. Find the y-intercept, (0, f (0)) .
3. Solve f ( x ) = 0 to determine the x coordinates of the x-intercepts if they exist.
4. Ensure that you've got at least one point to either side of the vertex. It is to ensure we get a somewhat accurate sketch. If the parabola contains two x-intercepts then already we'll have these points. If it contains 0 or 1 x-intercept we can either just plug in another x value or employ the y-intercept and the axis of symmetry to obtain the second point.
5. Sketch the graph. At this point we've gotten sufficient points to get a quite decent idea of what the parabola will look like.
Use synthetic division to divide 5x 3 - x 2 + 6 by x - 4 . Solution Okay along with synthetic division we pretty much avoid all the x's and just work with the numbers in
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5x - y = 1 -15x +4y = 6
ue Week 7 and worth 55 points Five (5) years ago, you bought a house for $171,000, with a down payment of $30,000, which meant you took out a loan for $141,000. Your interest rate
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-3/4(x=6/5)>-159/160
Find the surface area of a cylinder with a base radius of 3 cm and a height of 8 cm. Write your answer in terms of 3.14, and be sure to include the correct unit.
identify the sample and suggest a population from which it was selected. then classify the sample as sample, stratified, or systematic. explain your reasoning. 1} an insurance comp
use substitution method to solve this equation x+y=20 y= -5x
x2(x-2)-3 y3(xy2)-2/(x2)3 y-2(x2)2
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