Quadratic Key Features Test Review

Multiple Choice

Which equation below is correct?

• $$f\left(t\right)=t^2+32t+6$$  

• $$f(t)=-16t^2+6t+32$$  

• $$f(t)=-16t^2+32t+6$$  

• $$f\left(t\right)=-16\left(x-6\right)^2+32$$  

Multiple Choice

What is the second differences in the table?

• -3

• -6

• 6

• -9

Multiple Select

Select all the x-intercepts.

• (0,0)

• (2,0)

• (4,0)

• (1, -3)

Multiple Choice

What is the vertex of the parabola? Is it a minimum or maximum?

• x=2

  maximum

• (2, -16)

  maximum

• y = -16

  minimum

• (2, -16)

  Minimum

Multiple Select

Select all the features that are correct.

• Opens downward

• Has a maximum

• x-intercepts of (-3,0) and (-7,0)

• Vertical compression of 4

• Has a minimum

Multiple Choice

Which transformation is NOT correct for the function?

• Vertical Compression of 1/2

• Opens upward

• Has a y-intercept of (0, 8)

• Has an axis of symmetry of x = 5

• Has a minimum

Multiple Choice

What is the vertex?

• (-1, -16)

• (-1, 16)

• (-1, 0)

• (-16, 1)

Multiple Choice

Select the correct equation:

• $$y=-\left(x-2\right)^2+3$$

• $$y=3\left(x-2\right)^2$$  

• $$y=-\left(x+2\right)^2+3$$

• $$y=-\left(x-3\right)^2+2$$  

Multiple Select

Select the correct transformations.

• down 1/3

• Up 7

• Reflect over the x-axis

• left 7

• Vertical compression 1/3

Multiple Choice

Which function has a greater minimum?

• Function A

• Function B

• They have the same minimum value.

Multiple Select

Which equation would have those qualifications? Select all that are correct.

• $$f\left(x\right)=\frac{1}{2}\left(x+5\right)\left(x-2\right)$$  

• $$f\left(x\right)=-8\left(x+5\right)\left(x-2\right)$$  

• $$f\left(x\right)=-\frac{2}{3}\left(x-2\right)\left(x+5\right)$$  

• $$f\left(x\right)=3\left(x-5\right)\left(x+2\right)$$  

• $$f\left(x\right)=-3\left(x-5\right)\left(x+2\right)$$

Multiple Choice

Select the correct vertex:

• (-4, 0)

• (0,4)

• (4,0)

• (8,0)

• (-2, 4)