How do you graph y=3x^{2}+6x-1?

Kinsley Moon

Kinsley Moon

Answered question

2022-01-22

How do you graph y=3x2+6x1?

Answer & Explanation

trovabile4p

trovabile4p

Beginner2022-01-23Added 13 answers

Step 1
A quadratic function represents a parabola, hence its vertex and the axis of symmetry can be found from the given equation as follows
y=3(x2+2x)1
=3(x2+2x+1)+13
=3(x+1)22
Since coefficient of x2 is positive, the parabola would open up, its vertex would be at (1, 2), the axis of symmetry would be line x=1. X-intercepts would be
1±233
The parabola would also cross y axis at point (0, 1). With these inputs the curve can be easily sketched.

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