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Studentka2010 [4]
2 years ago
10

The directrix and vertex of a parabola are shown on the graph. What is the vertex form of the equation for the associated parabo

la?

Mathematics
1 answer:
tresset_1 [31]2 years ago
8 0

Considering the directrix and vertex given in the graph, the equation of the parabola is:

B. x = -\frac{1}{4}(y + 2)^2 - 2

<h3>What is the equation of a parabola given it’s vertex?</h3>

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

(y - k)² = 4p(x - h).

In which the directrix is the line x = h - p.

Looking at the graph, we have that:

  • The vertex is (-2,-2), hence h = k = -2.
  • The directrix is x = -1, hence -1 = -2 - p -> p = -1.

Thus the equation is:

(y + 2)² = -4(x + 2).

Writing x as a function of y:

B. x = -\frac{1}{4}(y + 2)^2 - 2

More can be learned about the equation of a parabola at brainly.com/question/17987697

#SPJ1

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