Question

Vertex represents a maximum or minimum point for the function. Explain your

Answer 1

Answer:

the vertex represents a maximum

Vertex is (4,7)

f(x)=-(x-4)^2+7

Step-by-step explanation:

Given the function $f(x)=-x^2+8x+9$

Equation is in the form of y=ax^2+bx+c

$a=-1$

When 'a' is negative, then vertex is maximum

when 'a' is positive, then vertex is minimum

$a=-1$ is negative, so the vertex represents a maximum

$f(x)=-x^2+8x+9$, factor out negative

Take out negative sign in common