Question: Rewrite y^2 = x - 4y + 7 into the standard conic form and determine whether it is a circle, an ellipse, or a parabola.

Rewrite y^2 = x - 4y + 7 into the standard conic form and determine whether it is a circle, an ellipse, or a parabola. By method of Completing the Square: If it is a parabola, specify its vertex and scaling factor. If it is a circle, specify its center and radius. If it is an ellipse, specify its center, major axis length, and minor axis length. Please show all your steps and work. Thank you

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Rewrite x^2 - 2x +3y^2 - 4y + 5 = 6 into the standard conic form and determine whether it is a circle, an ellipse, or a parabola. By method of Completing the Square: If it is a parabola, specify its...

What is the equation of the given circle? X O (x - 3)2 + (y + 1) 2 = 4 O (x - 3)2 + (y - 1)2 = 4 O (x - 3)2 + (y + 1)2 = 16 O (x + 3)2 + (y - 1)2 = 16 Find the center and radius of the circle defined...

If a parabola's focus is at (1, -1) and directrix is at y = 7, what is the general form of the equation representing this parabola? O 12 - 2x + 2y + 16y -47 = 0 O r - 2x + 16y -47 =0 O r - 2x + 16y -...

1. Use Cramer's Rule to solve the following system. x+y+z=0 2x - y + z = -1 -x + 3y - z = -8 A. {(-1, -3, 7)} B. {(-6, -2, 4)} C. {(-5, -2, 7)} D. {(-4, -1, 7)} 2. Use Gaussian elimination to find...

1 of 40 2.5 Points The half-life of the radioactive element krypton-91 is 10 seconds. If 16 grams of krypton-91 are initially present, how many grams are present after 10 seconds? 20 seconds? A. 10...

CONTENT DISCUSSIONS Identifying the Conic Section by Inspection The equation of a circle may be written in standard form to megood Ar + Ay' + Ca + Dy 4 E= 0, that is, the coefficients of a2 and yz...

Answer all the activities correctly CONTENT DISCUSSIONS Identifying the Conic Section by Inspection The equation of a circle may be written in standard form to megood Ar + Ay' + Ca + Dy 4 E= 0, that...

CONTENT DISCUSSIONS Identifying the Conic Section by Inspection The equation of a circle may be written in standard form to megood Ar + Ay' + Ca + Dy 4 E= 0, that is, the coefficients of a2 and yz...

(a) In a satellite communication system the height of the satellite is 3600km above earth and operated at 400MHz.the gain of the transmitting antenna is 20dB and that of the receiving antenna is...

An AED does not promptly analyze a rythm. What is your next step?

The _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ is an appropriate measure of excess return to risk for an undiversified portfolio. Question 1 2 options: 1 ) Treynor ratio 2 ) Net profit margin 3 ) Sharpe ratio...

An automobile spare parts dealer has a shop which he operates on a 240- day working year. He obtains brake repair kits from a major supplier which takes an average of 4 working days to be delivered...

2. Information that comes most readily to mind (availability).

3. An initial value (anchoring).

4. Similarity (representativeness).