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n the following exercises, graph by using intercepts, the vertex, and the axis of symmetry.

y= 9x2+ 12x+ 4
 
How do i solve this problem step by step?
y
= 9
x
2
+ 12
x
+ 4

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Kenneth S. | Expert Help in Algebra/Trig/(Pre)calculus to Guarantee Success in 2018Expert Help in Algebra/Trig/(Pre)calculu...
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In the case you present, which is a perfect square trinomial, that will help you find its single zero (so-called double root), which is negative.  (Descartes would tell you there are no positive roots).  You should have very little trouble identifying the y-intercept.

You can find the vertex, easily, using the formula x = -b/(2a).  Then sketch the graph; if you want, you could plot other points.