Question

How do you graph `y=x^2 + 4x + 3`?

Answer 1

The curve is concave upwards.

Explanation:

It is a quadratic function.
It has one turning point. Your graph must include that.
`x^2` has a positive sign. The curve is concave upwards. It has a minimum.
x = `(-b)/(2a)` = `(-4)/(2 xx 1)`= -2

At x = -2 the curve turns. Take a few points on either side of '-2'.
-5, -4, -3, -2, -1, 0, 1 - This is the range of values.

Find the corresponding y co-ordinates.

Plot the points and connect the points with a smooth line.

Refer the picture