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This ellipse is centered at the origin and has a horizontal axis of length 8 and a vertical axis of length 24 What is its equation?
x2/4^2+y2/12^2=1
How do you find horizontal and vertical asymptotes?
finding vertical asymptotes is easy. lets use the equation y = (2x-2)/((x^2)-2x-3) since its a rational equation, all we have to do to find the vertical asymptotes is find the values at which the denominator would be equal to 0. since this makes it an undefined equation, that is where the asymptotes are. for this equation, -1 and 3 are the answers for the vertical ayspmtotes. the horizontal asymptotes are a lot more tricky. to solve them, simplify the equation if it is in factored form, then divide all terms both in the numerator and denominator with the term with the highest degree. so the horizontal asymptote of this equation is 0.
Shifting the graph of an equation up or down is called?
vertical translations
Explain why the equation of a vertical line cannot be in slope-intercept form?
A vertical line on a graph has an infinite slope, and no y-intercept.
Is the equation x equals 7 a function?
No. The equation x=7 has an undefined slope since it is simply a vertical line located at x = 7. A basic test for a function is if you can draw a vertical line through the graph of the equation and it touches in more than one place, it is NOT a function.
Is it true In The Standard Equation For A Circle Centered At Any Point A Change In Value Of The Number That Is Part Of The X Term Results In A Vertical Movement?
Yes it’s true
In the standard equation for a circle centered at any point a change in the value of the number that is part of the xterm results in a vertical movement?
In the standard equation of a circle, ((x - h)^2 + (y - k)^2 = r^2), where ((h, k)) is the center and (r) is the radius, a change in the value of (h) (the x-coordinate of the center) results in a horizontal movement of the circle along the x-axis, not a vertical movement. Vertical movement is instead influenced by changes in (k), the y-coordinate of the center. Thus, altering the x-term affects the circle's left-right position, while changes to the y-term affect its up-down position.
This ellipse is centered at the origin and has a horizontal axis of length 26 and a vertical axis of length 12 What is its equation?
This ellipse is centered at the origin and has a horizontal axis of length 26 and a vertical axis of length 12 What is its equation?
In the standard equation for a circle centered at any point a change in the value of the number that is part of the x-term results in a vertical movement?
In the standard equation for a circle, given by ((x - h)^2 + (y - k)^2 = r^2), where ((h, k)) is the center and (r) is the radius, a change in the value of (h) affects the horizontal position of the circle's center. Specifically, increasing (h) moves the circle to the right, while decreasing (h) moves it to the left. The (y)-term, represented by (k), determines vertical movement, with an increase in (k) moving the circle up and a decrease moving it down. Thus, changes in the (x)-term affect horizontal movement, not vertical.
What is the equation for an ellipse that is centered at the origin and has a horizontal axis of length 6 and a vertical axis of length 4?
6*4
This ellipse is centered at the point-3 -5 The length of its horizontal axis is 10 and the length of its vertical axis is 14 What is the ellipse's equation?
A
This ellipse is centered at the origin and has a horizontal axis of length 14 and a vertical axis of length 10 What is its equation?
bx2/14 +y2/25 =1
This ellipse is centered at the origin and has a horizontal axis of length 10 and a vertical axis of length 18 What is its equation?
x2/52 + y2/93 = 1
This ellipse is centered at the origin and has a horizontal axis of length 16 and a vertical axis of length 24 What is its equation?
x2/82 + y2/242 = 1
This ellipse is centered at the origin and has a horizontal axis of length 16 and a vertical axis of length 8 What is its equation?
x2/82+y2/42=1
This ellipse is centered at the origin and has a horizontal axis of length 12 and a vertical axis of length 18 What is its equation?
Apexx2/36 + y2/81 = 1~PurpleLicious~
This ellipse is centered at the origin and has a horizontal axis of length 18 and a vertical axis of length 6 What is its equation?
apexx2/81 + y2/9 =1~PurpleLicious~
