Question

draw the graph of the given polynomial and find the zeros justify your answer. p(x) =x^2-6x +9​

Answer 1

Answer:

Step-by-step explanation:

(a ± b)² = a² ± 2ab + b²

p(x) = y = x² - 2·3·x +3² = (x - 3)²

y = (x - 3)²

If x = 3 ==> y = 0 . Vertex is shifted 3 units to the right along the x-axis, and x = 3 is axis of symmetry.

To draw the graph of given function, we have to put the vertex at (3, 0) and build y = x² .