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

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

Question

06-02-2021
Mathematics

Answered

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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 :

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VectorFundament120idn VectorFundament120idn · Answer 1 · 2021-02-06T05:38:01-05:00

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]

Sagot :

Explanation

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