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vertex represents a maximum or minimum point for the function. Explain your
answer.
b. Rewrite f(x) in vertex form by completing the square.
2. A cannonball is shot from the top of an ocean cliff as shown. The height (in meters) of the cannonball above th
water is given by h(t) = -5t2 + 15t + 8, where t is the number of seconds after the shot. Determine
whether each statement is true according to the graph. Select True or False for each statement.
Statement
True
Fal
The cannon is 8 meters above the water.
The cannonball reaches its maximum height at 1.5
seconds after it is shot.
The cannonball hits the water 8 seconds after it is
shot.

Sagot :

Answer:

the vertex represents a maximum

Vertex is (4,7)

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

Step-by-step explanation:

Given the function [tex]f(x)=-x^2+8x+9[/tex]

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

[tex]a=-1[/tex]

When 'a' is negative, then vertex is maximum

when 'a' is positive, then vertex is minimum

[tex]a=-1[/tex] is negative, so the vertex represents a maximum

[tex]f(x)=-x^2+8x+9[/tex], factor out negative

Take out negative sign in common

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