Question

Draw the graph of the polynomial4 x² - 4x +3​

Answer 1

1. Complete the square.

$4x^2+4x+3=4(x^2+x+\frac{1}{4} )-1+3$

$4(x^2+x+\frac{1}{4} )-1+3=4(x+\frac{1}{2} )^2+2$

∴Symmetry $x=-\frac{1}{2}$, minimum value 2

2. If coefficient of x² is positive, it would look like ∪.

3. Draw it. The graph doesn't need to be so precise. (If you are in a test.)