How do you graph y=-x^{2}-4x-3?

tripplek7i

tripplek7i

Answered question

2022-01-23

How do you graph y=x24x3?

Answer & Explanation

Nevaeh Jensen

Nevaeh Jensen

Beginner2022-01-24Added 14 answers

Step 1
To start with the basic idea, this is a quadratic function with a negative leading term. It would therefore represent a vertical parabola, opening downward. Rewrite it in the following form:
y=x24x3
=x24x4+1
=(x+2)2+1
This shows the vertex of the parabola (2, 1) and the axis of symmetry x=2.
The graph would have two x intercepts, given by x24x3=0, that is (x+1)(x+3)=0; x=1, 3
The graph would have one y intercept given by y=3.
Mark all the points given above on a graph and sketch the symmetrical figure of parabola on either side of the axis of symmetry.

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