Question

What is the vertex of the graph of f(x) = |x 3| 7? (3, 7) (7, 3) (–3, 7) (7, –3).

Answer 1

The vertex of the given modulus function is (3,-7).

Given information:

The given modulus function is,

$f(x)=|x-3|-7$

It is required to find the vertex of the given function.

What is the vertex of a modulus function?

Modulus function is in the shape of V. The notch of V is the vertex of the function.

The given function can be defined as,

$f(x)=x-10;x\geq3\\ f(x)=-x-4;x$

From the above function, it can be concluded that the vertex of the function should be (3,-7). Also shown in the attached image.

See the attached image.

Therefore, the vertex of the given modulus function is (3,-7).

For more details about modulus function, refer to the link:

brainly.com/question/18793028

Answer 2

The vertex of the graph of f(x) is (-3, 7).

Given that

Graph; $\rm f(x) = |x + 3| + 7$

We have to determine

What is the vertex of the graph of f(x)?

According to the question

The standard form of the absolute value function is;

$\rm y = a|x-h|+k$

Where h and k are the vertexes of the function.

Graph; $\rm f(x) = |x + 3| + 7$

Converting the equation into the standard form the absolute value function;

$\rm f(X)=|x + 3| + 7\\ \\ f(x) = |x-(-3)|+7$

On comparing with the standard absolute value function the vertices of the graph f(x).

h = -3 and k = 7

Hence, the vertex of the graph of f(x) is (-3, 7).

To know more about Absolute Function click the link given below.

brainly.com/question/1883473