Question

consider the graph of the following quadratic equation. y=-x squared -10x+24. what is the y-value of the vertex?

Answer 1

The graph shows you the y-value of the vertex is 49.

Answer 2

y=49.

Explanation:

The given quadratic equation is :

y=
`-x^(2) -10x+24.`

Any quadratic equation is of the form y=
`ax^(2) +bx+c`

The x of vertex is x=-b÷2a

In the given equation a=-1 ,b=-10 ,c=24.

The x of the vertex = -b÷2a= -(-10)÷2(-1)=-5.

The y of vertex is found by substituting the x value:

y=-
`(-5)^(2) -10(-5)+24.`

y= 49.

y of vertex is 49.