Question

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

Answer 1

Answer:

it's A.

Step-by-step explanation:

Answer 2

Answer:

$f(x)=(x-1)^2-7$

Step-by-step explanation:

Standard form:

$f(x)=x^2-2x-6$

Vertex form:

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

(h, k) is the vertex

x is the coordinate of the vertex

To find x use the formula:

$x=\frac{-h}{2a}$

$f(x)=x^2-2x-6$

a=1

b=-2

c=-6

Substitute:

$x=\frac{-(-2)}{2(1)}=1$

Substitute x in equation:

$f(x)=1^2-2(1)-6\\f(x)=1-2-6\\f(x)=-7$

h=1

k=-7

Substitute h, and k into the vertex formula:

$f(x)=(x-1)^2-7$