Mathematics: 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.

8 for first little numbers in each, and 6 for other 2 numbers. Total diffrence: 14.Step-by-step explanation:...

Charla wants to determine the vertex of the function

Brayner14

31.12.2021

the x-coordinate of the vertex is greater than the y-coordinate

Step-by-step explanation:

we have

f(x) = x^2 - 18x + 60

we know that

The equation of a vertical parabola into vertex form is equal to

$f(x)=a(x-h)^{2} +k$

where

(h,k) is the vertex of the parabola

Convert into vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

f(x)-60= x^2- 18x

Complete the square. Remember to balance the equation by adding the same constants to each side.

f(x)-60+81= x^2- 18x+81

f(x)+21= x^2- 18x+81

Rewrite as perfect squares

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

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

The vertex is the point (9,-21)

Statements

case A) the x-coordinate of the vertex is greater than the y-coordinate

The statement is true -------> 9 -21

case B) the x-coordinate of the vertex is negative

The statement is false ------> the x-coordinate of the vertex is positive

case C) the y-coordinate of the vertex is greater than the y-intercept

The statement is false-------> The vertex is a minimum (parabola open upward)

case D) the y-coordinate of the vertex is positive

The statement is false------->the y-coordinate of the vertex is negative

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