Quadratic Equations Directrix and Focus

Given this directrix and vertex, what would the equation of the parabola be?

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

• f(x) = -2(x + 5)² - 3

• f(x) = -2(x - 5)² - 3

• f(x) = 2(x + 5)² - 3

• f(x) = -(x - 5)² - 3

The vertex, (h, k), is halfway between the focus and the directrix.

• true

• false

Write the equation of the parabola with vertex at the origin and a directrix at y=5.

• 1
• 2
• 3
• 4

• 
• 
• 
• 

Find the focus and the directrix. \(x=y^2\)

• 
• 
• 
• 

p = __

• 
• 
• 
• 

• 
• 
• 
•