Draw the graph parabolas, Algebra

Sketch the graph parabolas.

g ( x ) = 3x2 - 6 x + 5

Solution

For this parabola we've obtain a = 3 , b = -6 and c = 5 .  Ensure that you're cautious with signs while identifying these values.  Thus we know that this parabola will open up as a is positive.

Following are the evaluations for the vertex.

x = -6/2(3)= -6/6=1

y = g (1) = 3 (1)2 - 6 (1) + 5 = 3 - 6 + 5 = 2

Then the vertex is (1, 2).  Now at this point we also know that there won't be any x-intercepts for this parabola as the vertex is above the x-axis & it opens upward.

The y-intercept is (0, 5) and by using the axis of symmetry we know that ( 2, 5) have to also be on the parabola.

Following is a sketch of the parabola.

1615_Draw the graph parabolas.png

Posted Date: 4/8/2013 1:37:26 AM | Location : United States







Related Discussions:- Draw the graph parabolas, Assignment Help, Ask Question on Draw the graph parabolas, Get Answer, Expert's Help, Draw the graph parabolas Discussions

Write discussion on Draw the graph parabolas
Your posts are moderated
Related Questions

A car travels at a rate of 50 miles per hour.Use equivalent ratios to graph the distance the car travels over time.Graph time on the x-axis and distance on the y-axis


Add a Multiple of a Row to Another Row.   In the operation we will replace row i with the addition of row i & a constant, c, times row j. The notation we'll utilize for this operat

Earthquake Intensity Commonly the Richter scale is utilized to measure the intensity of an earthquake. There are several different ways of computing this depend on a variety of

a stack of disks is 0.5cm thick.how many disk each at 0.125cm thick are in a stack?


Thirty percent of the students in a mathematics class received an “A.” If 18 students received an “A,” which of the following represents the number of students in the class?


To this instance in this chapter we've concentrated on solving out equations.  Now it is time to switch gears a little & begin thinking regarding solving inequalities.  Before we g