Unit 6, part 1 Test Review

Unit 6, part 1 Test Review

By Jodi Wynn

Vertex Form

Multiple Choice

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

• (5, -4)
• (-5, -4)
• (-15, -4)
• (15, -4)

Multiple Choice

Identify the vertex.

• (5, 2)

• (5, -2)

• (-5, 2)

• (-5, -2)

Multiple Choice

Find the vertex:

$$g\left(x\right)=2\left(x-4\right)^2+8$$  

• ( 4 , 8 ) 

• ( -4 , -8 ) 

• ( 4 , -8 )

• ( -4 , 8 )

Multiple Choice

Find the vertex:

$$f\left(x\right)=3\left(x-5\right)^2-7$$

• ( 5 , 7 ) 

• ( -5 , -7 ) 

• ( 5 , -7 )

• ( -5 , 7 )

Multiple Choice

What is the vertex for the parabola? $$f(x)=4(x-2)^2+3$$  

• (-2, 3)

• (2, -3)

• (4, 3)

• (2, 3)

Find Vertex from Standard Form​

Multiple Choice

Find the vertex of the quadratic function: y = 4x² + 24x + 5

• (−3, −31)

• (3, 113)

• (−3, −76)

• (3, 5)

Multiple Choice

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

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

Multiple Choice

Find the vertex of f(x) = - 2x² - 16x + 3

• (4, -93)
• (-4, 35)
• (-4,99)
• (8,3)

Axis of Symmetry

Multiple Choice

The equation for the axis of symmetry line is

$$x\ =\ \frac{-\ b}{2a}$$  

• true

• false

Multiple Choice

What is the axis of symmetry of the parabola? $$f(x)=\frac{1}{2}(x-4)^2+3$$  

• x = 4

• x = -4

• x = 1/2

• x = 3

Multiple Choice

What is the equation for axis of symmetry?

• y=3
• x=3
• x=5
• x=1

Multiple Choice

What's the axis of symmetry of y = 3x² - 6x + 4

• x=1
• x=-6
• x=2
• x=-1

Multiple Choice

Find the axis of symmetry:

$$f\left(x\right)=\frac{1}{3}\left(x+1\right)^2$$

• x = 0

• x = 1

• x = - 1

• x =  $$\frac{1}{3}$$  

Multiple Choice

Find the axis of symmetry for

$$f\left(x\right)\ =\ x^2\ -\ 8x\ +\ 15$$  

• x = -4
• x = 4
• y = 4
• y = -4

Multiple Choice

Find the axis of symmetry:

$$g\left(x\right)=2\left(x-4\right)^2+8$$  

• x = -4

• x = 4

• x = 2

• x = 8

Multiple Choice

Find the axis of symmetry:

$$g\left(x\right)=-2\left(x+4\right)^2-6$$

• x = - 4

• x = 4

• x = -6

• x = -2

Minimum or

Maximum​

Multiple Choice

Given the equation for this parabola:

$$y\ =\ -\ \left(x-4\right)^2\ -\ 3$$  

does this parabola have a maximum or minimum value?

• Maximum
• Minimum

Multiple Choice

Does the parabola f(x)= 4( x - 2 )² + 3 open up or down?

• up
• down

Multiple Choice

What causes the graph of y = x² to open downward?

• multiply the x² by a fraction
• multiply the x² by a decimal
• multiply the x² by a negative number
• multiply the x² by a number greater than 1

Multiple Choice

Which letter determines if a parabola opens up or down?

• a

• h

• k

Multiple Choice

Does the equation open or or down?  y = - 3x² + 7x - 2

• up
• down

Multiple Choice

Does the equation have a max or min?
y = 2x² + 7x + 5

• max
• min

Transformations of Functions​

Multiple Choice

What steps transform the graph of

$$y\ =\ x^2$$   to $$y\ =\ x^2\ +\ 8$$  

• shifted up 8 units

• shifted down 8 units

• shifted left 8 units

• shifted right 8 units

Multiple Choice

What is the parent function of a quadratic?

• $$y=x$$

• $$y=x^2$$

• $$y=\sqrt{x}$$

• $$y=\left|x\right|$$

Multiple Choice

Which transformation transforms the graph of

$$f\left(x\right)\ =\ x^2$$   to the graph of $$g(x)=(x+4)^2?$$  

• shift 4 units up

• shift 4 units down

• shift 4 units to the left

• shift 4 units to the right

Multiple Choice

How did we transform from

$$y\ =\ x^2$$   to $$y\ =\ -\ 3x^2$$  

• reflection in x-axis and shifts down

• reflection x-axis and narrower

• wider

• reflection x-axis and wider

Multiple Choice

If the blue graph is
f(x) = x² 
the red must be...

• g(x) = (x + 3)²
• g(x) = (x - 3)²
• g(x) = x² + 3
• g(x) = x² - 2

Multiple Choice

Does the graph of this equation widen or narrow from the parent function?
y=  5(x - 5)² + 3

• widen
• narrow
• neither

Multiple Choice

If the blue graph is
f(x) = x² 
then the red must be...

• g(x) = x² - 5
• g(x) = x² + 5
• g(x) = (x - 5)²
• g(x) = (x + 5)²

Multiple Choice

If red represents y = x², which equation represents blue?

• y = 2x²
• y = - 2x²

• y = - x²

• y = (x - 1)²

Multiple Choice

If the function f(x) = x² is changed so that a new function is created, g(x) = 5x², how does g(x) compare to f(x)?

• The graph of g(x) is wider than the graph of f(x)

• The graph of g(x) is narrower than the graph of f(x)

• The graph of g(x) is shifted 5 units up above f(x)

• The graph of g(x) is shifted 5 units down below f(x)

Multiple Choice

Which describes the transformation of the graph of f(x) = x²  

to the graph of  g(x) = - 4x²

• Reflected, narrower
• reflected, wider
• shifted down 4 units
• shifted up 4 units