Graphing Parabolas Using Roots and Vertices

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)

The axis of symmetry line passes through which point?

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

What is the equation of this graph?

• f(x) = (x -5)² + 1
• f(x) = (x - 1)² - 5
• f(x) = (x + 1)² - 5
• f(x) = (x + 5)² +1

Tags

CCSS.HSF-IF.C.7A

Identify the vertex and whether the graph opens up or down.

• (5, 2); opens up
• (5, 2); opens down
• (-5, 2); opens up
• (-5, 2); opens down

What is the green dashed line called?

• roots or x-intercepts
• parabola
• axis of symmetry
• line of dashes

Tags

CCSS.HSF-IF.C.7A

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 = 2(x+3)² + 4
• y = (x+3)² - 4
• y = (x-3)² + 4
• y = 2(x - 3)² + 4

The graph of a quadratic function is called a

• Parabola
• Vertex
• Axis of Symmetry 
• Vertex Form

Tags

CCSS.HSF-IF.C.7A

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

What is the name of the imaginary line that cuts a parabola in half and goes through the vertex?

• the middle
• axis of symmetry
• minimum
• standard form

Tags

CCSS.HSF-IF.C.7A