Doochiecoochie2idn
Answered

IDNLearn.com: Where questions are met with accurate and insightful answers. Our platform is designed to provide accurate and comprehensive answers to any questions you may have.

What is the vertex of the absolute value function defined by ƒ(x) = |x - 2| - 7?

(2,-7)
(2,7)
(-2,7)
(-2,-7)

Sagot :

VectorFundament120idn

Explanation

  • Modulus Function

[tex]y = a |x - h| + k[/tex]

The structure or equation is similar to a quadratic function.

The value of a determines the slope of graph.

Tthe value of h determines the horizontal shift of graph.

The value of k determines the vertical shift of the graph.

From the given equation,

[tex]f(x) = |x - 2| - 7[/tex]

We can say that the graph shifts to the right 2 units and shifts down 7 units. Hence the vertex would be at x = 2 and y = -7. It can be written in coordinate form as (2,-7).

Answer

[tex] \large{(2,-7)}[/tex]

Thank you for participating in our discussion. We value every contribution. Keep sharing knowledge and helping others find the answers they need. Let's create a dynamic and informative learning environment together. Thank you for visiting IDNLearn.com. We’re here to provide clear and concise answers, so visit us again soon.