Question

(04.04 MC) Which is the equation of the parabola?

Answer 1

Answer:

Option (2)

Step-by-step explanation:

Let the equation of the parabola represented by the curve in the graph is,

y = a(x - h)² + k

Where (h, k) is the vertex of the parabola and 'a' is the coefficients of highest degree term of the parabola.

From the graph,

Vertex of the parabola is (-3, 0) and a point (-13, -5) exactly lies on the curve.

vertex form of the parabola will be,

y = a(x + 3)² + 0

y = a(x + 3)²

Since (-13, -5) lies on this graph,

-5 = a(-13 + 3)²

-5 = 100a

a = $-\frac{5}{100}$

a = $-\frac{1}{20}$

So the equation of the parabola will be,

$y=-\frac{1}{20}(x+3)^2$

Option (2) will be the answer.