Question

15. Draw the graph of the polynomial p(x) = 4x2 - 4x + 1 and find the zeroes of the
polynomial
from the graph.​

Answer 1

Answer:

0.5 is zero of p(x)

Step-by-step explanation:

To graph the parabola of p(x) = 4x² - 4x + 1 better to write the given function in vertex form y = a(x - h)² + k , where (h, k) are coordinates of the vertex of the parabola.

We will do it by completing the square.

y - 1 = 4(x² - x)

y - 1 + 4 × $\frac{1}{4}$ = 4(x² - 2 × $\frac{1}{2}$ x + $\frac{1}{4}$)

y + 0 = 4(x - $\frac{1}{2}$)²

y = 4(x - 0.5)² ===> h = 0.5, k = 0

Plot (0.5, 0) on the coordinate plane, and draw the graph y = 4x² around x = 0.5 as the axis of symmetry.

x-coordinate of vertex is the zero of given function.

Answer 2

Answer:

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