Charla wants to determine the vertex of the function f(x) = x2 – 18x + 60 by changing the function into vertex form. Which statement about the vertex of the function is true? The x-coordinate of the vertex is greater than the y-coordinate. The x-coordinate of the vertex is negative. The y-coordinate of the vertex is greater than the y-intercept. The y-coordinate of the vertex is positive.

The statement true about the vertex of the function is option A; The x-coordinate of the vertex is greater than the y-coordinate.

What is vertex form of a quadratic equation?

If a quadratic equation is written in the form

y=a(x-h)^2 + k

then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)

Charla wants to determine the vertex of the function ;

[tex]f(x) = x^2 - 18x + 60\\f(x) -60 = x^2 - 18x[/tex]

Complete the square;

To balance the equation by adding the same constants to each side.

[tex]f(x) -60 + 81 = x^2 - 18x + 81[/tex]

Solving;

f(x) = (x - 9)^2 - 21

Vertex = (9, -21)

Therefore, The x-coordinate of the vertex is greater than the y-coordinate.

Learn more about vertex form of a quadratic equation here:

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