SOLUTION: Find the vertex, axis, and the x & y intercepts of y= (2x-7) (2x-1) please explain step by step I would really appreciate any help!

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Question 172897: Find the vertex, axis, and the x & y intercepts of
y= (2x-7) (2x-1)
please explain step by step
I would really appreciate any help!

Answer by jojo14344(1513)   (Show Source): You can put this solution on YOUR website!

Expand:


Transpose constant to the left, likewise "copy" the "a" constant of a quadratic eqn --->to the left. factor out the right term:

Complete the square by taking "half" of '4' on the right term,in this ---> , then squared it---->.


--> it follows vertex form,
where--->
So, therefore, the vertex is at (2,-9).
Axis of symmetry is the x-intercept of the vertex: --->
For Y-Intercept:



For the X-Intercepts: We solve the eqn:

------>

---->
As you see in the graph:
---->Vertex (2,-9)
Thank you,
Jojo

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