y = - (x + 3)2 + 5 Step 2: State the vertex: (h, k). Min. or Max. . value? (3.5) minimum value (8.5) maximum value AB, minimum value CA 6 animum value

y x 32 5 Step 2 State the vertex h k Min or Max value 35 minimum value 85 maximum value AB minimum value CA 6 animum value class=

Respuesta :

The vertex form of a parabola is

[tex]y=a(x-h)^2+k[/tex]

where the vertex is

[tex]v=(h,k)[/tex]

Now in our case, looking at our equation we see that h = -3 and k = 5; therefore, the coordinates of the vertex are

[tex](-3,5)[/tex]

Since the constant a = -1, the parabola is concave down, and therefore, the vertex is a maximum.

Hence, the correct answer is the fourth choice in the column.