Please Check My Answers!!!
What is the type of conic section is given by the equation x^2-9y^2=900 and what is
the domain and range?
Answer: Type is hyperbola, Domain is all real values of x, not sure what the range is. Please explain how to find these
What are the vertex, focus and directrix of a parabola with equation: x = y2 + 14y − 2

  1. 👍 0
  2. 👎 0
  3. 👁 1,055
  1. the domain is clearly not all real numbers.
    Suppose x=0. No way can -9y^2 = 900
    The hyperbola is
    x^2/900 - y^2/100 = 1
    The vertices of the hyperbola are at (±30,0)
    So, the domain is (-∞,-30]U[30,∞)
    Using what you know of the shape of hyperbolas, the range is clearly all real numbers.

    1. 👍 0
    2. 👎 0
  2. As for the parabola, recall the properties of the parabola
    y^2 = 4px
    Yours is shifted a bit, making it
    (y+7)^2 = 1(x+51)

    1. 👍 0
    2. 👎 0
  3. How did you get the second one?? Also, thank you so much for the first answer. I realized what I was doing wrong lol. I knew how to do it, I was just doing it wrong today

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra (Please check)

    PLEASE CHECK MY ANSWERS (: I just want to make sure I am doing this correctly __________________________________ Graph the system of constraints and find the value of x and y that maximize the objective function. Constraints: x

  2. science

    Which features would you look for to classify a volcano? Select the three correct answers. height* steepness* color* type of lava presence of foliage age of rock *=my answers? check me, please

  3. pre cal

    What is the center of the conic whose equation is x^2 + 2y^2 - 6x + 8y = 0 2.Which one of the following equations represents a hyperbola? (5 points) A) 3x^2 + y^2 + 12x - 7 = 0 B) 3x^2 + 3y^2 + 12x - 7 = 0 C) 3x^2 + y + 12x - 7 =

  4. algebra

    Can someone check my answers on exploring conic sections? 1. Graph x2 + y2 = 9. What are its lines of symmetry? Every line through the center is a line of symmetry. The y-axis and the x-axis are lines of symmetry.( my choice)

  1. Precalculus

    Transform the quadratic equation to a standard form. 4x^2-y^2-24x-10y+11=0 My answer: 4(x-3)^2 - (y+5)^2 = 0 Therefore, this is a degenerate conic section, right?

  2. algebra

    Can someone check my answers please and if Im wrong please explain. 1) graph 4x^2+4y^2=64. what are the domain and range? domain;all real numbers range;-4


    1. 1/10 x 3/4 A.15/2 B.2/15 C.3/40 D.40/30 2.4/5 of 40 A.32 B.1/32 C.12 D.44/5 3.1/3 of 3 A.1/18 B.1/3 C.1 D.1/9 this is the Lesson 4: Multiplication of Fractions Review Math 6 A Unit 7: Multiplying and Dividing Fractions quiz, so

  4. mATH

    Determine the nature of conic equation Determine the nature of conic equation Determine the nature of conic equation Determine the nature of conic equation Determine the nature of conic equation Determine the nature of conic

  1. Algebra

    Identify the type of conic section that has the equation 9x^2+ 25y^2 =225 and identify its domain and range.

  2. Algebra

    Write the equation for the conic section of the cone is centered at (0,0), the major axis is 10 units and the minor axis is 6 units. (Ellipse) Write the equation for the conic section if the vertex is (-6,4) and the focus is

  3. math

    Identify the conic section whose equation is given: x2 + 10x + y2 + 12y = 60

  4. algebra 2

    Determine values for A, B, and C such that the equation below represents the given type of conic. Each axis of the ellipse, parabola, and hyperbola should be horizontal or vertical. Then rewrite your equation for each conic in

You can view more similar questions or ask a new question.