49

Step-by-step explanation:

The given function is .

We expand to get:

We complete the square to obtain the vertex form as follows:

This function is now of the form:

, where (h,k)=(-4,49) is the vertex.

The y-value of the vertex is therefore 49

49

Step-by-step explanation:

Given

f(x) = - (x - 3)(x + 11)

Find the zeros by setting f(x) = 0, that is

- (x - 3)(x + 11) = 0

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x + 11 = 0 ⇒ x = - 11

The vertex lies on the axis of symmetry which is situated at the midpoint of the zeros

= = = - 4

Substitute x = - 4 into f(x) for y- coordinate of vertex

f(- 4) = -(- 7)(7) = 49 ← y- value of vertex

49

Step-by-step explanation:

f(x)=-(x-3)(x+11)

The zeros of the equation are 3 and -11

The vertex is 1/2 way between the two values

(3+-11)/2 = -8/2 = -4

The vertex is at x= -4

We substitute this value into the equation to find the y value

f(x)=-(-4-3)(-4+11)

= -(-7)(7)

=49

49.

Step-by-step explanation:

We have been a function . We are asked to find the y-value of vertex of the given function.

Upon multiplying both factors, we will get,

Now, we will use formula to find the x-coordinate of vertex of parabola.

Since the x-coordinate of vertex of parabola is , so we will substitute in our equation to find y-coordinate of parabola.

Therefore, the y-coordinate of vertex of the given parabola is 49.

y- value of the vertex for the given function is 49.

Step-by-step explanation:

Given : The function

We have to find the y- value of the vertex for the given function.

Consider the given function

The vertex of the up-down facing parabola of the form is the average of the zeros,

Thus, here, m = 3 , n = -11 and a = 1

Thus, x- value of vertex is -4.

Now, put x = -4 to get y values

Thus, y- value of the vertex for the given function is 49.

y- value of the vertex for the given function is 49.

Step-by-step explanation:

Given : The function

We have to find the y- value of the vertex for the given function.

Consider the given function

The vertex of the up-down facing parabola of the form is the average of the zeros,

Thus, here, m = 3 , n = -11 and a = 1

Thus, x- value of vertex is -4.

Now, put x = -4 to get y values

Thus, y- value of the vertex for the given function is 49.

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