Determine the Vertex of a Quadratic Equation Using the Formula (-b/2a, f(-b/2a))

In order to find the vertex of an in standard form, the first two steps are to use the equation _____ to find the x value, and then you can plug that value back into the equation to find the _____.

• -b/2a, y-value

• (x-h)^2, y-intercept
  

• (x-r1), solution

• ax^2, vertex

An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation 
s(t) = –16t² + 64t + 80.
What will be the object's maximum height? 

• 2 ft

• 80 ft

• 144 ft

• 64 ft

Find the vertex of
f(x) = -x² - 4x + 12.

• (-2, 16)

• (-2, 14)

• (2, 4)

• (-2, 4)

What is the length of the rope?

• 24 ft

• 8 ft

• 12 ft

• 10 ft

Label parts of this function.

a

b

c

d

Y-intercept

Zero(-)

Vertex

Zero (+)

Tags

CCSS.HSF-IF.C.7A

The table of a quadratic function is shown.

Create the ordered pair that represents the vertex of the quadratic.

( ​ (a)   , ​ (b)   )

• -2

• -6

• -3

• -5

• -4

• -1

• 0

• 1

• 3

A graph of a quadratic function is shown. What is the vertex of the function?

Find the "a" value of a quadratic function that has a vertex at (-3, -4) and passes through (0, 14).

(a)  

What is the vertex of this function?

a

b

c

d

Vertex

Zero(-)

Y-intercept

Zero (+)

What does vertex form tells us about a quadratic function?

• the y-intercept

• the x-intercepts

• the vertex

• the increasing interval