Question

Use the calculator to graph the function y = 2x2 25x + 3. What are the coordinates of the turning point of the graph to the nearest hundredth?
Vertex = (
,
)

Answer 1

The coordinates of the turning point of the graph of the quadratic equation is given by: (-6.25, -75.13).

What is the vertex of a quadratic equation?

A quadratic equation is modeled by:

$y = ax^2 + bx + c$

The vertex is given by:

$(x_v, y_v)$

In which:

• $x_v = -\frac{b}{2a}$

• $y_v = -\frac{b^2 - 4ac}{4a}$

In this problem, the function is given by:

y = 2x² + 25x + 3.

Hence the coefficients are a = 2, b = 25, c = 3, then the coordinates of the vertex are given as follows:

• $x_v = -\frac{25}{2(2)} = -6.25$

• $y_v = -\frac{25^2 - 4(2)(3)}{4(2)} = -75.13$

The coordinates of the turning point of the graph of the quadratic equation is given by: (-6.25, -75.13).

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

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