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Type the correct answer in each box. use numerals instead of words. what are the x-intercept and vertex of this quadratic function? g(x) = -5(x-3)^2 write each feature as an ordered pair: (a,b). the x-intercept of function g is . the vertex of function g is .

Respuesta :

Considering the given quadratic function, we have that:

  • The x-intercept is (3,0).
  • The vertex is (3,0).

What is the equation of a parabola given it’s vertex?

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

In this problem, the function is given by:

g(x) = -5(x - 3)²

Hence h = 3, k = 0, and the vertex is (3,0).

What are the x-intercepts of a function g(x)?

They are the values of x for which g(x) = 0, hence:

-5(x - 3)² = 0

(x - 3)² = 0

Applying the root to both sides:

x - 3 = 0.

x = 3.


The x-intercept is (3,0).

More can be learned about quadratic functions at https://brainly.com/question/24737967

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