(per. 3) Unit 2 Quiz- PreCalculus Honors A

Factor completely.
 $6x^3-14x^2-12x$  

•  $2\left(x-3\right)\left(3x+2\right)$  

•  $\left(2x^2-3x\right)\left(3x+2\right)$  

•  $2x\left(x-3\right)\left(3x+2\right)$  

•  $2x\left(x-2\right)\left(3x+3\right)$  

A rocket was launched from a balcony 10 feet from the ground. The rocket modeled the equation h(t)= -t² + 6t + 10, where t represent time in seconds and h(t) represents the height in feet. What is the maximum height the rocket will reach before it starts to go back down? 

• 10 feet 
• 19 feet
• 13 feet
• 16 feet 

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Solve 2(x-1)² = 32

• x= -3, 5

• x= -4, 4

• x= 3, 5

• x= 2, 6

Which if the following is an equation for a quadratic function that opens downward and has the vertex of (-4, 7)?

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

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which equation best represents the graph?

• y = 2(x - 4)² + 5
• y = 2(x + 4)² + 5
• y = -2(x - 4)² + 5
• y = -2(x + 4)² + 5

Tags

CCSS.HSF-IF.C.7A

Factor completely.

 $5n^2-6n-27$ 

• (5n + 3)(n-9)

• (5n - 3)(n + 9)

• (5n + 9)(n - 3)

• (5n - 9)(n + 3)

Factor completely.
 $-6x^2+46x-80$  

• 2(x-5)(3x-8)

• (-2x+10)(3x-8)

• -2(x-8)(3x-5)

• -2(x-5)(3x-8)

An archer shoots an arrow into the air such that its height at any time, t, is given by the function h(t) = -16t² + kt + 3. If the maximum height of the arrow occurs at time t = 4, what is the value of k?

• 128

• 64

• 8

• 4

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.CED.A.1

A ball is thrown vertically into the air.  Its height in feet after t seconds is given by the equation h(t) = –5t² + 20t, and is graphed below.  How high will the balloon be after 3 seconds?

• 20 ft
• 15 ft
• 5 ft
• 10 ft

A ball is thrown straight up at an initial velocity of 54 feet per second. The height of the ball t seconds after it is thrown is given by the formula h(t) = 54t − 12t² .

How many seconds after the ball is thrown will it return to the ground?

• 9.2

• 6

• 4.5

• 4

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.CED.A.1

CCSS.HSA.REI.D.11