Parabolas Directrix and Focus

A parabola is the set of all points equidistant from the focus and the directrix.

• true
• false

Tags

CCSS.HSG.GPE.A.2

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 focus is always inside the parabola.

• true
• false

The 'p' value represents the distance between the vertex and the focus AND the vertex and the directrix.

• True
• False

The sign of the 'p' value determines if the graph opens upward or downward.

• True
• False

Tags

CCSS.HSG.SRT.C.8

If the directrix is y = 4 and the focus is at 
(3, 0), the value of p is:

• 8
• -8
• 2
• -2

Does y = -4x² have a maximum or minimum value?

• maximum
• minimum

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

Find the y-intercept of f(x) = 2x²-2x + 1

• 2
• -2
• 1
• -1

Tags

CCSS.HSF-IF.C.7A

If the directrix is y = 4 and the focus is at
(3, 0), the turning point is: 

• (3, 0)
• (3, 2)
• (3.5, 0)
• (0, 3.5)