Answer:
y=49.
Step-by-step explanation:
The given quadratic equation is :
y=[tex]-x^{2} -10x+24.[/tex]
Any quadratic equation is of the form y=[tex]ax^{2} +bx+c[/tex]
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=-[tex](-5)^{2} -10(-5)+24.[/tex]
y= 49.
y of vertex is 49.
