RBKruben RBKruben
  • 13-11-2020
  • Mathematics
contestada

what is the directrix of a parabola with focus (4,-1) and a vertex at (4,-5)?​

Respuesta :

unicorn3125
unicorn3125 unicorn3125
  • 14-11-2020

Answer:

                y = -9

Step-by-step explanation:

The directrix is at the same distance from the vertex as the focus but on the opposite side of the vertex.

x coordinate the same for a focus and a vertex (4) means the parabola opens up or down and the directrix is parallel to the x-axis.

y coordinate of the focus greater than y coordinate of the vertex means the parabola opens up and the directrix lays below the vertex.

-1-(-5) = - 1 + 5 = 4

so: - 5 - 4 = -9 is the y coordinate of points of the directrix

Answer Link

Otras preguntas

Are authors of biographies bias on who they write about? Please explain in a long paragraph.
What is the coefficient of the c-term of the algebraic expression Options: -34 -1 0 1
Write the slope- intercept form of the equation of the line passing through the point (3,5) and parallel to the line y=3x+6.
What is the equation for the line that is parallel to line m, through A
How many atoms are in the product of the following reaction? 2KClO3 ⇋ 2KCl + 3O2 6 8 5 10
What’s the unit rate of 80 : 40​
what is the consequence if an essential amino acis is missing in the diet?​
How many different words in green eggs and ham
Find the inequality represented by the graph.
6. Fran shoots an arrow straight up. At the top of the arrow's path A. Velocity and acceleration are both zero. B. Velocity is zero and acceleration is not zero