Transformation for Quadratic Function

Does the graph of this equation open up or down? 
f(x) = -(x + 3)² - 5

• up

• down

Tags

CCSS.HSF-IF.C.7A

• Left 2, Down 2, Vertical Stretch
• Right 2; Up 1; 
• Vertical Stretch; Right 2; Up 1
• Left 2; Down 2;

Name the parent function

f(x)=x²

• Quadratic

• Cubic

• Absolute Value

• Exponential

Describe the transformation of the function from its Parent Function g(x)=2|x-7|-3

• Vertical Stretch by 2, Shift Right 3 and Shift Down 7

• Vertical Stretch by 2, Shift Right 7 and Shift Down 3

• Vertical Stretch by 2, Shift Left 7 and Shift Down 3

• Horizontal Stretch by 2, Shift Right 7 and Shift Down 3

Describe the transformation of the function from the Parent Function g(x)=-x^3+5

• Reflection over

  x-axis

  and

  Shift Left 5

• Reflection over

  y-axis

  and

  Shift Right 5

• Reflection over

  y-axis

  and

  Shift Up 5

• Reflection over

  x-axis

  and

  Shift Up 5

Tags

CCSS.HSF.BF.B.3

The axis of symmetry line passes through which point?

• y-intercept

• any random point

• vertex

• none of these

A change that shifts a graph horizontally, vertically, or both. This does not change the shape of the graph.

• Translation

• Transformation

• Vertex

• Reflection

Change in the position, size, or shape of a parent graph

• Translation

• Transformation

• Vertex

• Reflection

Where is the axis of symmetry for this parabola?

• x = −1

• x = 0

• y = 3

• x = −3

Tags

CCSS.HSF-IF.C.7A

Match the equation to its description.

• Stretched by 4 and up 4

• Compressed by 4 and up 4

• Stretched by 4 and left 4

• Compressed by 4 and left 4