Mathematics, 30.11.2019 00:31 sanders183

Think about the graphs of the equations in the following system. x2+ y2 = 2 y = 2x2 – 3 which of the following describes the system? circle with its center at (0, 0) and a radius of mc001-1.jpg; parabola opening up with its vertex at (0, –3) circle with its center at (0, 0) and a radius of mc001-2.jpg; parabola opening up with its vertex at (0, 3) circle with its center at (0, 0) and a radius of 2; parabola opening up with its vertex at (0, –3) circle with its center at (0, 0) and a radius of 2; parabola opening up with its vertex at (0, 3)

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Answer from: sti192

circle: x2+ y2 = 2

parabola: y = 2x2 – 3

The standard form of equation of circle is:

( x – h )^2 + ( y – k )^2 = r^2

We are given the equation x^2 + y^2 = 2.

Where h and k are the x and y coordinates of the center. Basing on the standard equation, the center is at (0 , 0) and r = $\sqrt{2}$

The standard form of equation of parabola with the axis of symmetry parallel to the y-axis is:

(x - h)^2 = 4p (y - k)

Rearranging the given equation into this form:

x^2 = (½) y + 3/2

x^2 = ½ (y + 3)

Since 4p is positive value, therefore the parabola is opening up. The vertex is located at (0 , -3).

circle with its center at (0, 0) and a radius of $\sqrt{2}$ ; parabola opening up with its vertex at (0, –3)

Answer from: limelight11

The equation x^2+ y^2 = 2 represents a circle of radius $\sqrt 2$ and center (0,0), and the equation y=2x^2-3 represents a parabola with vertex (0,-3) and it opens upward.

Given information:

The given equations are:

$x^2+ y^2 = 2\\y = 2x^2 - 3$

Let's talk about the equations one by one.

The first equation is x^2+ y^2 = 2 .

The given equation represents a circle with its center at (0,0) and radius $\sqrt2$ . The equation can also be represented as,

$x^2+ y^2 = 2\\(x-0)^2+(y-0)^2=(\sqrt2)^2$

Now, the second equation is y=2x^2-3 . It is the equation of a parabola.

The given equation can be written as,

$y=2x^2-3\\y-(-3)=2(x-0)^2$

So, the vertex of the parabola is (0,-3) and it opens upwards. The opening is upwards because the coefficients of x and y are positive and y is related to x squared.

Therefore, the equation x^2+ y^2 = 2 represents a circle of radius $\sqrt 2$ and center (0,0), and the equation y=2x^2-3 represents a parabola with vertex (0,-3) and it opens upward.

See the image attached.

For more details, refer to the link:

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Think about the graphs of the equations in the following system. x2+ y2 = 2 y = 2x2 – 3 which of the

Answer from: Quest

A. but. i don’t nohxbzbz

Answer from: Quest

( - 4 , -7 )

all the lines must parallel

step-by-step explanation:

coordinates of c = ( - 1 , 2 )

3 units left = ( -4 , 2 )

9 units down = ( - 4 , 11 )

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Think about the graphs of the equations in the following system. x2+ y2 = 2 y = 2x2 – 3 which of the...