Question

Which of the following could correctly describe the graph of the equation below? Check all that apply.

(x - 4)2 + (y + 3)2 = 36
A. Hyperbola opening left and right
B. Circle
C. Square
D. Ellipse
E. Parabola that opens up
F. Hyperbola opening up and down

Answer 1

General formula x^2 + y^2 = radius^2 is a circle

So it is a circle however, a circle is a special kind of ellipse.. so I would say both a circle and an ellipse

Answer 2

Are those 2's outside the parentheses indented to be exponents? If not, this is not any of those, it's a line. If so then it's a circle and an elipse

Answer 3

If the equation of a parabola is y = 7(x - 4)2 + v, and its vertex is (4, -2), what is the value of v in the equation?

Answer 4

It is a circle with center (-4,3) with a radius of 6

Answer 5

-2

Answer 6

Recall that the general form for a parabola is:

\[y-y_0 = K(x-x_0)^2\]
Where K is a multiplicative constant that changes the scale of the parabola, and \(x_0, y_0 \) are the coordinates of the vertex.

Answer 7

in your case, moving the v to the otherside shows that \(y_0 = v\). So v would be the y value of your vertex.

Answer 8

Which of the coordinate pairs below is a solution to the following system of equations?

x2 + y2 = 157
x + y = 17

Answer 9

Which of the coordinate pairs below is a solution to the following system of equations?

x2 + y2 = 157
x + y = 17

Answer 10

Its a real pleasure to see prof. Ram here