The image shows a geometric representation of the function f(x) = x2 – 2x – 6 written in standard form. An algebra tile configuration. Only the Product spot is shown. 9 tiles are in the Product spot: 1 + x squared, 2 negative x, 6 negative. What is this function written in vertex form? f(x) = (x –1)2 – 7 f(x) = (x +1)2 – 7 f(x) = (x –1)2 – 5 f(x) = (x +1)2 – 5

Step-by-step explanation:

Standard form:

Vertex form:

(h, k) is the vertex

x is the coordinate of the vertex

To find x use the formula:

a=1

b=-2

c=-6

Substitute:

Substitute x in equation:

h=1

k=-7

Substitute h, and k into the vertex formula:

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

$12. that is my answer.