WebGraph the equation. y=-2 (x+5)^2+4 y = −2(x + 5)2 + 4 This equation is in vertex form. y=\goldD {a} (x-\blueD h)^2+\greenD k y = a(x − h)2 + k This form reveals the vertex, (\blueD h,\greenD k) (h,k), which in our case is (-5,4) (−5,4). It also reveals whether the parabola opens up or down. Since \goldD a=-2 a = −2, the parabola opens downward. WebThe left side of the equation must be greater than or equal to 36 in order to satisfy the equation, so plugging in each of the values for x and y, we see: Therefore only yields an answer that is greater than or equal to 36. …
How to Graph a Circle from its Standard Equation - Study.com
WebCircle, Equations. The following applet was designed to help you see the relationship between the equation of a circle and its graph. Adjust the sliders "h", "k", and "r" (one at … WebJun 15, 2024 · Formula: ( x − h) 2 + ( y − k) 2 = r 2 where ( h, k) is the center and r is the radius. Recall that a circle is the set of all points in a plane that are the same distance from the center. This definition can be used to find an equation of a circle in the coordinate plane. Figure 6.21. 1. Let’s start with the circle centered at ( 0, 0). crystal beach hotel san diego
Circle Equations - Math is Fun
WebIn the equation (x-3) 2 + (y-2) 2 =16, the center of the circle is... The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle. What is the … WebCircle #1: (x - 3)2+ (y +1)2 = 25 Circle #2: (x + 1)2 + (y - 2)2 = 25 b. Circle #1: (y + 4)2+ (x + 7)2 = 6 Circle #2: (x + 7)2 + (y + 4)2 = 36 Putting Equations in Standard Form Example 1: x2 + y2 + 6x – 8y – 11 = 0 Example 2: x2 + y2 – 2x + 6y – 10 = 0 (x2 + 6x) + (y2 – 8y) = 11 (x2 + 6x + 9) + (y2 – 8y + 16) = 11 + 9 + 16 WebA circle has the equation x 2 + y 2 + 3 x + 6 y + 9 = 0 (a) Find the center ( h, k) and radius r of the circle. (b) Graph the circle. (c) Find the intercepts, if any, of the graph. (a) The center of the circle is (Type an ordered pair, using integers or fractions.) crystal beach house rental