Chapter 2 Review

Identify the domain and range of the function.

• Domain: $\left[-6,\ 2\right]$

  Range: $\left[-3,\ 5\right]$

• Domain: $\left(-\infty,\ \infty\right)$
  Range: $\left[-3,\ 5\right]$

• Domain: $\left(-\infty,\ \infty\right)$
  Range: $\left[-3,\ \infty\right)$

• Domain: $\left(-\infty,\ \infty\right)$
  Range: $\left(-\infty,\ -3\right]$

The graph below describes a ball that was kicked. Which of the following is a true statement describing the graph? 

• The ball was kicked from 500 centimeters from the ground and it traveled for 4 seconds.
• The ball was kicked from the ground and it was in the air for 4 seconds. 
• The ball had a maximum height of 2000 centimeters and it was in the air for a total of 2 seconds. 
• The ball had a maximum height of 1000 centimeters and it was in the air for 4 seconds. 

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

What is the range for the function below?

• $\left(-\infty,\ 4\right]$

• $\left[4,\ \infty\right)$
  

• $\left(-\infty,\ \infty\right)$
  

• $\left[-3,\ 1\right]$

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

Which of the following equations matches standard form of a quadratic?

• y = x²

• y = a(x - h)² + k

• y = ax² + bx + c

• y = a(x-p)(x-q)

What is the axis of symmetry for the following equation?

y=4x²-8x+9

• x = -5

• x = -1

• x = 1

• x = 5

Which transformation transforms the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a vertical translation 4 units up
• a vertical translation 4 units down
• a horizontal translation 4 units to the left
• a horizontal translation 4 units to the right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

How did we transform from the parent function y = x² to y = -1/5(x - 1)² + 7 ?

• reflection in x axis, vertical stretch of 5, translation right 1 unit, translation 7 units up

• translation 1 unit right, reflection in y axis, vertical shrink of 1/5, translation 7 units up

• translation 1 unit left, reflection in x axis, vertical shrink of 1/5, translation 7 units up

• translation 1 unit right, reflection in x axis, vertical shrink of 1/5, translation 7 units up

What is the maximum value of the function shown?

• 4

• 3

• 1

• -3

Tags

CCSS.HSF-IF.C.7A