-10 -5 10- 5- 0 --5- -10- 15 (0,-16) 5 10

Q: Determine the directrix and axis of symmetry of a parabola with vertex (4,-2) and focus (4,4)

A: The distance between the vertex and the focus is same as the distance between the vertex and the…

Q: Describe how to find a parabola’s vertex if its equation is expressed in standard form. Give an…

A: The standard form of a parabola is y = ax2 + bx + c. To find the x coordinate of the vertex, use the…

Q: What is the standard equation of a hyperbola?

A: Our Aim is to tell the standard equation of a hyperbola.

Q: Define hyperbola with reference to algebra.

A: Define the hyperbola

Q: How do I write an equation for a hyperbola that looks like this?

A: Hyperbola equation..

Q: -16 + -12 -8 -4 20 94 16- 12+ 8 4 -8- + -12+ -16+ 4 8 12 + + 16 20

A: y2=7x

Q: Find the focus and directrix of the parabola with the equation 6y^2+10x=0. Then choose the correct…

A: Given that, the equation of the parabola is 6y2+10x=0 6y2+10x=06y2=-10xy2=-10x6y2=-4512x Compare the…

Q: given the following equation: 36y^2-4x^2=144.  a) determine if the function is an ellipses or a…

A: This question can be solved using the concept of conic section.

Q: The line passing through the vertex that divides the parabola into two symmetric parts is . The two…

A:

Q: Find the equation , in standard form, of the parabola with the specified features.   Find the…

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Q: Write an equation in standard form for a hyperbola with center at (4, 0), vertex (10, 0), and focus…

A:

Q: Write an equation of the ellipse in standard form ((x-h)/a)^2 + ((y-k)/b)^2 =1

A: Standard form of ellipse isx-h2a2+y-k2b2=1

Q: Find the standard form of a parabola with the following properties: Center at the origin…

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Q: write in standard form of equation vertex hyperbola with (− 1, 2) center and  focus (− 3 (,−2)3, +…

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Q: Define the term parabola?

A: Given: The term parabola.

Q: derive the standard form of equation for a hyperbola?

A: A cartesian coordinate system contains two mutually perpendicular number lines named x axis and y…

Q: Write the equation of a parabola given vertex 2,4 and point 8,0. And please identify the focus.

A: