The vertex of this parabola is at (3, 5) . When the y-value is 6, the x-value is - 1 What is the coefficient of the squared term in the parabola's equation? (3, 5) A. -4 B. 4 C. 2 D.2

Respuesta :

Answer:

The correct approach is Option A (-4).

Step-by-step explanation:

The given values are:

Vertex of the parabola,

(h, k) = (3, 5)

Passing through,

(x, y) = (-1, 6)

As we know,

The equation of parabola is:

⇒  [tex]x=a(y-k)^2+h[/tex]

On substituting the given values in the above equation, we get

⇒  [tex]-1=a(6-5)^2+3[/tex]

⇒  [tex]-1=a+3[/tex]

On substracting "3" from both sides, we get

⇒  [tex]-1-3=a+3-3[/tex]

⇒           [tex]a=-4[/tex] (coefficient of squared term)

Thus the above is the right choice.