a)

b)

c)

Maiclubk
2021-08-07
Answered

Sketch the following conic sections:

a)${y}^{2}-4y+8-4{x}^{2}=8$

b)${y}^{2}-4y-4{x}^{2}=8$

c)$3{(y-5)}^{2}-7{(x+1)}^{2}=1$

a)

b)

c)

You can still ask an expert for help

Nichole Watt

Answered 2021-08-08
Author has **100** answers

The answer is given below in the photo

Answered 2021-12-13

a)

Solve for y:

Hint: Solve the quadratic equation by completing the square.

Subtract

Hint: Take one half of the coefficient of y and square it, then add it to both sides.

Add 4 to both sides:

Hint: Factor the left hand side.

Write the left hand side as a square:

Hint: Eliminate the exponent on the left hand side.

Take the square root of both sides:

Hint: Look at the first equation: Solve for y.

Add 2 to both sides:

Hint: Look at the second equation: Solve for y.

Add 2 to both sides:

Answer:

b)

Solve for y:

Hint: Solve the quadratic equation by completing the square.

Add

Hint: Take one half of the coefficient of y and square it, then add it to both sides.

Add 4 to both sides:

Hint: Factor the left hand side.

Write the left hand side as a square:

Hint: Eliminate the exponent on the left hand side.

Take the square root of both sides:

Hint: Look at the first equation: Solve for y.

Add 2 to both sides:

Hint: Look at the second equation: Solve for y.

Add 2 to both sides:

Answer:

c)

Solve for y:

Hint: Isolate terms with y to the left hand side.

Add

Hint: Divide both sides by a constant to simplify the equation.

Divide both sides by 3:

Hint: Eliminate the exponent on the left hand side.

Take the square root of both sides:

Hint: | Look at the first equation: Solve for y.

Add 5 to both sides:

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