Find an equation for the parabola with focus (4, 0) and directrix x = 3. Sketch the parabola together with its vertex, focus, and directrix.
Want to see the full answer?
Check out a sample Q&A here
Related Calculus Q&A
Find answers to questions asked by students like you.
Q: Derive an equation for the parabola with focus (a , b) and directrix x = c
A: Given focus f =(a,b) and directrix x=c Let A(x1,y1) be any point so that |Af|= |AD| Where Af=…
Q: Find an equation for the parabola with focus (0, -4) and directrix y =
A: Click to see the answer
Q: Determine an equation for the parabola with focus (3,2) and directrix y = -4.
A: Since, directrix is vertical use equation of parabola that opens up or down. (x-h)2 = 4p(y-k)…
Q: Determine an equation for the parabola with focus (3,2) and directrix y = -4.
A: Focus of the parabola, F = 3,2 Equation of the directrix of the parabola, y =-4 To evaluate : The…
Q: Find an equation for the parabola with focus (3, 4) and directrix the x-axis
A: Focus and directrix are known. Based on that we have to derive the equation of the parabola.
Q: Determine the standard form of an equation of the parabola with focus (1, 2) and directrix x = 7.
A: Click to see the answer
Q: Find the equation of the parabola with focus (8,0) and directrix x -8
A: Click to see the answer
Q: Write the equation of the parabola with focus at (3,5) and directrix y = 3.
A: First I have written a formula of parabola with given focus and directrix, just use the formula for…
Q: Which is the equation of a parabola with focus (0, 5) and directrix y= -5?
A: Click to see the answer
Q: Find an equation of the parabola in standard form with focus at (0,-4) and directrix y=4
A: The objective of the question is determine the equation of the parabola with given focus and…
Q: Determine the equation of a parabola with focus at (0,5) and directrix y=5
A: Given, The parabola with focus at 0, 5 and directrix is y=5 We have to find the equation of the…
Q: Find the equation of the parabola with focus (1, −4) and directrix y = 0.
A: Given the following to find the equation of parabola.
Q: Determine the equation and sketch the graph the parabola given focus at (12, 3) and directrix at x =…
A: Click to see the answer
Q: Determine the equation of the parabola, focus (-3/2,3) and directrix at x=-37/2.
A: Click to see the answer
Q: Find the standard form of the equation of the parabola with the given characteristics. Focus: (2,…
A: Given that the directrix is x = -2, we can conclude that the parabola opens to the right(in a…
Q: Find the standard form of the equation of the parabola with the given characteristics Focus: (2, 2)…
A: Click to see the answer
Q: Find the standard form of the equation of the parabola with the given characteristics. Focus: (0,…
A: The equation of parabola:
Q: Find the equation of the parabola with focus at (5, 0) and directrix x = −5.
A: Focus lies on x-axis.
Q: Find the focus and directrix of the parabola given by y2 = 8x.Then graph the parabola.
A: Click to see the answer
Q: Find the standard form of the equation of the parabola with the given characteristics. Focus: (1,…
A: Given: A rough sketch of the parabola shall be as follows:
Q: Determine an equation for the parabola with focus (3,2) and directrix y = -4. %3D
A: Given problem is :
Q: Determine an equation for the parabola with focus (3,2) and directrix y = -4. %3D
A: Click to see the answer
Q: find the equation of the parabola with the given properties. Focus (0, −4), directrix y = 4
A: To find the equation of the parabola with focus 0,-4 and directrix y=4. Solution: Focus is on y-axis…
Q: Find the focus and directrix of the parabola given by y2 = 12x. Then graph the parabola.
A: y2=12x Now comparing with y2=4ax, we get 4a=12⇒a=3 Therefore focus is, a, 0=3, 0 & directrix is,…
Q: Find the focus and directrix of the parabola given by y2 = 12x. Then graph the parabola.
A: The given equation of the parabola is, y2=12x The standard form of the parabola opening on either…
Q: Find an equation of the parabola with focus (7,-2) and directrix x=-9. O=0
A: Click to see the answer
Q: Find the standard form of the equation of the parabola. Focus at (6, -2), directrix y = -8
A: Click to see the answer
Q: Sketch the graph of the parabola y = 1/4(x - 1)2 + 5. Show the vertex, focus, and directrix.
A: The given parabola is: y=14(x-1)2+5
Q: Use the Distance Formula to write an equation of the parabola with focus F (0, – 11) and directrix y…
A: Click to see the answer
Q: Find the standard form of the equation of the parabola with the given characteristics. Focus: (0,…
A: Given:
Q: Find the standard form of the equation of the parabola with the given characteristics. Focus: (0,…
A: Click to see the answer
Q: Find an equation of the parabola with focus (15/2, 0) and directrix x= -13/2
A: The vertex will be the midpoint of (15/2, 0) and x= -13/2 So, vertex is:
Q: Use the Distance Formula to write an equation of the parabola with focus F (0, – 11) and directrix y…
A: Click to see the answer
Q: Find an equation of the parabola in standard form with focus at (3,0) and directrix x=-3
A: Click to see the answer
Q: Write the equation for a parabola with a Focus (4,1) and Directrix y=8 ?
A: we know that the distance between any point on parabola and the focus is same as the distance…
Q: Find the equation of the parabola and the length of the latus rectum with directrix y = -2 and focus…
A: Click to see the answer
Q: Find the focus and directrix of the parabola y = -x2, and sketch the graph.
A: Click to see the answer
Q: Find an equation of the parabola with focus (-9,-3) and directrix x=-1
A: Click to see the answer
Q: Write the standard equation of parabola with the focus at (-1, 2) and the vertex (1,2) Determine :…
A: Click to see the answer
Q: Find the focus and directrix of the parabola y2 = 10x.
A: given: the equation of the parabola: y2=10x
Q: Find the standard form of the equation of the parabola with the given characteristics. focus:…
A: If (a,b) is the focus of the parabola, and directrix is y = k,then strandard equation of parabola…
Q: Find the standard form of the equation of the parabola. Vertex at the origin, focus at (0, 8)
A: Click to see the answer
Q: Determine the standard form of the parabolic equation x = 1/2 (y + 5)2 − 2. Further, characterize…
A: Given the parabolic equation: x=12y+52-2 Concept used: The standard form of the parabola and its…
Q: Determine the standard form of the parabolic equation x = 1/2 (y + 5)2 − 2. Further, characterize…
A: x=12y+52-2 On simplification, we get ⇒12y+52=x+2⇒y+52=2x+2⇒y--52=2x--2 Now it is in the form of…
Q: Find an equation of the evolute of the hyperbola y=1/x.
A: Given: The equation of hyperbola,
Q: find the equation, in standard form, of the parabola of the specified features. directrix: y = -5,…
A: Click to see the answer
Q: Find the standard form of the equation of the parabola with the given characteristics. focus: (2, 2)…
A: Click to see the answer
Q: Which of the following is the equation of a parabola with a vertex (−2,3) and directrix y=7?
A: Click to see the answer
Q: Which of the following is the equation of a parabola with a vertex (−2,3) and directrix y=7?
A: Click to see the answer
Q: Find the equation of the parabola with directrix x+1=0 , axis y=1 and the length of the latus rectum…
A: Click to see the answer
