doochiecoochie2
Answered

Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Discover a wealth of knowledge from professionals across various disciplines on our user-friendly Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

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 :

VectorFundament120

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]

We hope this was helpful. Please come back whenever you need more information or answers to your queries. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.