Unit 6 Review: Writing Quadratic Functions

Which statement is true for the following function:
$f\left(x\right)=-5\left(x+6\right)^2+1$

• The vertex is a minimum at (6, 1)

• The vertex is a maximum at (6, 1)

• The vertex is a minimum at (-6, 1)

• The vertex is a maximum at (-6, 1)

Tags

CCSS.HSA.REI.D.10

Convert the function to vertex form:
$g\left(x\right)=x^2+10x-3$

• $g\left(x\right)=\left(x-5\right)^2-3$

• $g\left(x\right)=\left(x+5\right)^2-28$

• $g\left(x\right)=\left(x-5\right)^2-8$

• $g\left(x\right)=\left(x+5\right)^2+72$

Looking at the graph, which of the following are true? There is more than 1 correct answer.

• The vertex is a minimum at $(-3,-2)$

• The range of this function is $\left(-3,\ \infty\right)$

• The function is increasing on the interval $\left(-\infty,\ -2\right)$

• The function has an average rate of change of -1 over the interval $\left[-4,\ -2\right]$

• This function would have a positive discriminant.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Convert the following equation into intercept form: $f\left(x\right)=4x^2+16x-48$

• $f\left(x\right)=4\left(x+6\right)\left(x-2\right)$

• $f\left(x\right)=4\left(x-6\right)\left(x+2\right)$

• $f\left(x\right)=\left(x+24\right)\left(x-8\right)$

• $f\left(x\right)=\left(x-24\right)\left(x+8\right)$

A ball is launched upward from a 60ft platform. Its trajectory (path in the air) is modeled by the equation:
$h\left(t\right)=-8t^2+40t+30$
Which of the following points can we use to find the maximum height?

• y-intercept
  

• x-intercept

• axis of symmetry

• vertex

A ball is launched upward from a 60ft platform. Its trajectory (path in the air) is modeled by the equation:
 $h\left(t\right)=-8t^2+40t+30$  
How long does it take for the ball to reach its maximum height?

• 1 second

• 2.5 seconds

• 80 seconds

• 30 seconds

We have the function  $g\left(x\right)=x^2-6x-7$  
Which of the following is the axis of symmetry for this function?

• y=3

• x=3

• x= -16

• y= -16

We have the function  $g\left(x\right)=x^2-6x-7$  
Which of the following is/are the x-intercept(s) for this function?

• (-1, 7)

• (-1, 0), (7, 0)

• (1, 0), (-7, 0)

• (0, -7)

Tags

CCSS.HSF-IF.C.7A

We have the function  $g\left(x\right)=x^2-6x-7$  
Which of the following is/are the y-intercept(s) for this function?

• (-7, 0)

• (0, -7)

• (-1, 0), (7, 0)

• (1, 0), (-7, 0)

Tags

CCSS.HSF-IF.C.7A

We have the function  $g\left(x\right)=x^2-6x-7$  
Which of the following set of ordered pairs could describe this function?

• 
• 
• 
•