What does it mean to be tangent to the x-axis at the origin?
What does it mean to be tangent to the x-axis at the origin?
If a graph is tangent to the x-axis, the graph touches but does not cross the x-axis at some point on the graph.” Based on that, was your initial assessment correct? We also know that if the graph is tangent to the x-axis at some point (in this case the origin, x = 0) the slope is 0 at that point.
What is standard form for a circle?
Standard form for the equation of a circle is (x−h)2+(y−k)2=r2. The center is (h,k) and the radius measures r units. To graph a circle mark points r units up, down, left, and right from the center.
How do you find the standard form of a circle?
The standard form of a circle’s equation is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius. To convert an equation to standard form, you can always complete the square separately in x and y.
How do you find the equation of a circle given the center and tangent to the x axis?
The formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. If a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.
How do you find the equation of a circle given the center and tangent to the y axis?
Correct answer: The formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle.
How do you find standard form from center and radius?
Find the center and radius of the circle. In order to find the center and radius, we need to change the equation of the circle into standard form, ( x − h ) 2 + ( y − k ) 2 = r 2 (x-h)^2+(y-k)^2=r^2 (x−h)2+(y−k)2=r2, where h and k are the coordinates of the center and r is the radius.
What is the standard form of the equation of a circle if the center is at the origin?
The equation of a circle, centered at the origin, is x2+y2=r2, where r is the radius and (x, y) is any point on the circle.