Line of Symmetry, Vertex, Quadratic Equations

Forms of Quadratics - Vertex Form #1
What is the line of symmetry for the equation y = ½(x - 4)² - 4?

• y = 4
• y = - 4
• x = 4
• x = - 4

Forms of Quadratics - Vertex Form #2
What direction does the equation y = -2(x - 1)² + 5 face?

• Opens up with a minimum
• Opens down with a maximum
• Opens left
• Opens right

Tags

CCSS.HSF-IF.C.7A

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

What is the axis of symmetry of this quadratic?  y =  (x  +  5)²  +   3

• x =5
• x=3
• x=-5
• x=-3

What are the green dots called?

• axis of symmetry
• vertex
• parabola
• roots or x-intercepts

Tags

CCSS.HSF-IF.C.7A

What is the green dashed line called?

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

Tags

CCSS.HSF-IF.C.7A

Which of the following is the correct equation for the given graph?

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

Tags

CCSS.HSF-IF.C.7A

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 vertex of this graph is a

• maximum
• minumum

What effects does "h" have on the parent function?

• Vertical stretch/compression
• Horizontal shifts (left/right)
• Vertical shifts (up/down)