Question

Identify the Vertex: x^2 - 12x + 44

Answer 1

The vertex of the given quadratic polynomial function is (6, 8)

A quadratic polynomial function is the one which can be represented in the form ax² + bx + c = y where a, b and c are coefficients and x, and y are independent and dependent variables respectively. A parabola is formed when the quadratic polynomial is plotted on graph. The x coordinate of the vertex can be found using formula (-b/2a) and y coordinate can be found by putting the value of x in the equation.

Given polynomial function x² - 12x + 44

Now, x = (-b/2a)

x = (12/2)

=> x = 6

Now, y = 6² - 12×6 + 44

y = 36 - 72 + 44

=> y = 8

Therefore, Vertex = (6, 8)

Learn more about Vertex of quadratic polynomial at:

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