Introduction to Graphing Parabolas

The graph of a quadratic function is called a

• Parabola
• Vertex
• Axis of Symmetry 
• Vertex Form

Tags

CCSS.HSF-IF.C.7A

Determine the vertex of the parabola y=(x-2)²–7

• (5, -7)
• (-2, -7)
• (2, -7)
• (-7, -2)

Given the equation for this parabola:
 y=-(x-4)²-3,
does this parabola have a maximum or minimum value?

• Maximum
• Minimum

Tags

CCSS.HSF-IF.C.7A

The axis of symmetry line passes through which point?

• y-intercept
• any random point
• vertex
• symmetrical point for the vertex

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

• y = -2
• x = 3
• x = -3
• y = 2

Which equation has a vertex of (-3, 4)?

• y = (x+3)² + 4

• y = (x+3)² - 4
• y = (x-3)² - 4

• y = (x - 3)² + 4

In vertex form, what effect does the h have on the graph?

• Translates Up/Down

• Translates Left/Right

• Narrows/Widens Parabola

• Flips it

In vertex form, what effect does the k have on the graph?

• Translates Up/Down

• Translates Left/Right

• Narrows/Widens Parabola

• Flips it

When you subtract a constant from y=x² what happens to the graph? Eg. y=x² - 2

• Graph moves UP

• Graph moves to the RIGHT

• Graph moves DOWN

• Graph moves to the LEFT

Which way does the graph move if the equation looks like y = (x - 3)² ?

• Graph moves UP 3 units
• Graph moves to the RIGHT 3 units
• Graph moves DOWN 3 units
• Graph moves to the LEFT 3 units