SOLUTION: Hey, I'm really struggling with these 3 three math questions about quadratic equations. It would be so helpful if I can get help for these please. Here is a picture of the qu

Question 861853: Hey,
I'm really struggling with these 3 three math questions about quadratic equations. It would be so helpful if I can get help for these please.
Here is a picture of the question
http://gyazo.com/9156eb3823bb4d44093c6853158a9208
Found 2 solutions by richwmiller, josgarithmetic:
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
How lazy can you be!
You want us to do your homework for you and you can't even copy the question!

Answer by josgarithmetic(39613) (Show Source): You can put this solution on YOUR website!

--
And the listed questions are:
Is it u shaped or n shaped? How do you know?
Use algebra to get x and y intercepts.
Find axis of symmetry, and coordinates of the vertex.

RESPONSE:

The shape is not u nor n. The shape is PARABOLA. The coefficient on the leading term is less than zero, being , so this means that the parabola has a maximum point and opens downward.

Transposing the equation into standard form, a good bit of work, will permit you to directly read the vertex and line of symmetry from the standard form equation. You do this change of form by Completing the Square.

As for finding the y-intercept, let x=0 and then compute what y is. This will be the y-intercept. One benefit of the standard form equation is that you can find the x-intercepts very easily, once you set y=0.

The first thing to do is Complete the Square to put the equation into standard form. See these two lessons to know more about this:
What is Completing the Square?
and
Solving a Quadratic Equation Using Completing the Square.
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