Algebra 1 easy question please answer

Algebra
Tutor: None Selected Time limit: 1 Day

a. 

b. 
c. 
d. 
e. 
f. 
g. 

When you come to the exploration meeting, be ready to discuss the following:

1. What are some methods for calculating the vertex and axis of symmetry for each equation?
2. Determine which solution method you would prefer to use to solve each of the equations. What are the pros and cons of using that method for each situation?
3. In general, how would you decide which method is best for a given equation?
4. Without graphing each quadratic, what are some of the key features of the equation that will let you know what the graph will look like?
Aug 24th, 2015

Thank you for the opportunity to help you with your question!

The vertex of a quadratic equation  is the highest or lowest point of that equation. It lies on the plane of symmetry of the entire parabola as well; whatever lies on the left of the parabola is a complete mirror image of whatever is on the right. If you want to find the vertex of a quadratic equation, you can either use the vertex formula, or complete the square.

First;

1.Identify the values of a, b, and c. In a quadratic equation, the x2 term = a, the x term = b, and the constant term (the term without a variable) = c.

Then;

2.Use the vertex formula for finding the x-value of the vertex. The vertex is also the equation's axis of symmetry. The formula for finding the x-value of the vertex of a quadratic equation is x = -b/2a. Plug in the relevant values to find x. Substitute the values for a and b.

Please let me know if you need any clarification. I'm always happy to answer your questions.
Aug 24th, 2015

you didn t answer the rest of the questions  3 and 4

Aug 25th, 2015

This was because the questions were many and involving but the time period was very short.

I can now answer them, both 3 and 4.

Aug 25th, 2015
3. look at the x and y intercepts, if their squares are complete, then the completing square method fits such an equation.

4. by finding the intercept values of x and y, you will be able to interprate the nature of the graph.
Aug 25th, 2015

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Aug 24th, 2015
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