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The function g(x) = 10x2 – 100x 213 written in vertex form is g(x) = 10(x – 5)2 – 37. which statements are true about g(x)? select three options. the axis of symmetry is the line x = –5. the vertex of the graph is (5, –37). the parabola has a minimum. the parabola opens up. the value of a, when the equation is written in vertex form, is negative.

Respuesta :

The vertex of the function of g(x) is (5, -37).

What is the vertex form of the parabola?

The formula for the vertex form of a parabola is f(x) = a (x - h) 2 + k where: a = vertical stretch or shrink of the parabola and (h, k) are the (x, y) coordinates of the vertex of the parabola.

The vertex form of the parabola is given by;

[tex]\rm g(x) = 10x^2-100x+213\\\\g(x)=10(x-5)^2-37[/tex]

On comparison with the standard equation of parabola the vertex of the parabola are;

h = 5 and K = -37

Hence, the vertex of the function of g(x) is (5, -37).

To know more about Vertex click the link given below.

brainly.com/question/19243462

Answer:

---> The vertex of the graph is (5, –37).

--->  The parabola has a minimum.

--->  The parabola opens up.

Step-by-step explanation:

IT'S CORRECT ON PRE-TEST / ON TEST

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