A2 Practice Quiz 4.1 & 4.7 Parabolas in standard form

Which of the following Quadratic functions represents the graph above?

• $y=x^2\ +2$

• $y=-x^2$

• $y=-3x^2$

• $y=2x^2$

• none of these
  
  

Answer explanation

Tags

CCSS.HSF-IF.C.7A

Which of the following Quadratic functions represents the graph above? Select all that apply.

• $y=\left(x+3\right)^2+1$

• $y=\left(x-3\right)^2\ +1$

• $y=\left(x-3\right)^2-1$

•  $y=x^2-6x+8$ 

•  $y=x^2-6x+4$  
  
  

Answer explanation

Tags

CCSS.HSF-IF.C.7A

What would the "a" value be of the above Quadratic Function?

• 4

• -3

• 2

• -1

• none of these
  
  

Answer explanation

Tags

CCSS.HSF-IF.C.7A

Select all the true statements of the above quadratic function.

• The vertex is (-2, -19)

• The range is $y\le-1$

• The first transformation from the parent graph to the current graph is that it gets reflected over the x axis.

• The min value is -1

• the axis of symmetry is x=1

Answer explanation

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.A.2

Select all the true statements of the above quadratic function.

• The vertex is (3, 11)

• The range is $y\le11$

• The transformation from the parent graph to f(x) is a reflection across the x axis, and also shifts 3 to left and 6 down.

• The max value is -6

• the axis of symmetry is x= -3

Answer explanation

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1

Select all true statements of the above quadratic function.

• the vertex is (-5, 80)

• The transformation from the parent graph to current graph f(x) is that it shifts 5 to the right and 20 down.

• The axis of symmetry is: y = -5

• The min value is -20

• None of these are true.

Answer explanation

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Which quadratic function represents the graph above?

•  $y=\left(x+3\right)^2-1$  
  

•  $y=x^2+6x+8$  
  

•  $y=2x^2-12x+16$  

•  $y=x^2-6x+8$  
  

• none of these
  
  

Answer explanation

Tags

CCSS.HSF-IF.C.7A

Select all true statements:

• Step #1 on graphing any parabola is to find the vertex.

• The "a" value of a quadratic function tells you how the parent graph gets shifted.

• $x=\frac{-b}{2a}$ is the Axis of symmetry.

• The y intercept of a standard form quadratic function will always be the "c" value.

• None of these are true statements

Answer explanation

Tags

CCSS.HSF-IF.C.7A

select all the transformations in the correct order that apply from the parent graph to the given function g(x)

• Reflects over the x axis

• vertically stretched by a factor of 6

• shifts 2 units to the left and one unit down

• shifts 2 units to the right and one unit down.

• vertically compressed by a factor of -6

Answer explanation

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSG.CO.A.2

Select all the following true statements of the this quadratic function.

• The vertex is (-1,-7) and is the minimum value

• The vertex is (2,-4) and is the maximum value

• the Axis of symmetry is x = 2

• $y\ge-7$ is the range of the function

• the y intercept is (0, -4)

Answer explanation

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10