Question

How do you identify the important parts of `y = 4x^2 + 12x + 9` to graph it?

Answer 1

Graph y = 4x^2 + 12x + 9

Explanation:

`y = 4x^2 + 12x + 9 = (2x + 3)^2`
There is a double root at vertex (-3/2, 0). The upward parabola is tangent to the x-axis at vertex.
y- intercept --> Make x = 0 --> y = 9
graph{4x^2 + 12x + 9 [-10, 10, -5, 5]}