Question

What is the vertex of f(x) = |x + 8| – 3?
(–8, –3)
(–8, 3)
(8, –3)
(8, 3)

Answer 1

A.

Explanation:

Answer 2

Answer: The correct option is (A) (-8, -3).

Step-by-step explanation: We are given to find the vertex of the following curve:

`f(x)=|x+8|-3~~~~~~~~~~~~~~~~~~~~(i)`

we know that the standard equation of a curve in vertex form is given by

`f(x)=a|x-h|+k,`

where (h, k) is the vertex of the curve.

From equation (i), we have

`f(x)=|x+8|-3\\\\\Rightarrow f(x)=|x-(-8)|+(-3).`

Comparing the above equation with the standard equation of a curve, we have

`(h,k)=(-8,-3).`

Thus, the required vertex of the given curve is (-8, -3).

Option (A) is correct.