Vertex of a Parabola

Which of the following equations shows the standard form of a quadratic function?

• ax + by = c

• f(x) = a(x - h)² + k

• f(x) = ax² + bx + c

• f(x) = mx + b

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What's the x value of the vertex of y = 3x² - 6x + 4 ?

• x=1

• x=-6

• x=2

• x=-1

Tags

CCSS.HSA.REI.B.4

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

• (-2, 16)
• (2, 0)
• (2, 4)
• (-2, 4)

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The equation for the x value of the vertex is  $x\ =\frac{-b}{2a}$  

• true

• false

Tags

CCSS.HSA.REI.B.4

The parabola y = x² - 2x + 4 will have a vertex of

• (-1, 2)

• (1, 2)

• (-1, 3)

• (1, 3)

The parabola y = x² - 2x + 4

• will have a minimum vertex.

• will have a maximum vertex.

Tags

CCSS.HSF-IF.C.7A

The parabola y = -2x² - 4x + 1 will open

• up

• down

Tags

CCSS.HSF-IF.C.7A

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

A ball is thrown into the air with an upward velocity of 40ft/s. Its height h in feet after t seconds is given by the function :

h(t) = -16t² + 40t + 10

How many seconds does it take the ball to reach its maximum height?

• 1.25 seconds

• 1.4 seconds

• 2.5 seconds

• 2 seconds

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

The axis of symmetry is the ​ (a)   value of the vertex and the maximum or minimum is the ​ (b)   value of the vertex.

• x
• y