Graph of (y 2)2=-4(x-1) 282212-Graph of y=x^2-4x+1
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The vertex form of equation is y = −4(x 21)2 2 Explanation y = −4x2 − 4x 1 or y = −4(x2 x) 1Divida \frac{1}{2}, el coeficiente del término x, por 2 para obtener \frac{1}{4} A continuación, agregue el cuadrado de \frac{1}{4} a ambos lados de la ecuación Este paso hace que el lado izquierdo de la ecuación sea un cuadrado perfecto
Graph of y=x^2-4x+1
Graph of y=x^2-4x+1- y = 2 (0 1)^2 4 = 2 (1) 4 = 2 so (0, 2) is on the graph when x = 1, y = 2 (1 1)^2 4 = 2 (2)^2 4 = 8 4 = 4 so (1, 4) is on the graph Symmetry gives the point (2, 2) as the partner to (0, 2) and (3, 4) as the partner to (1, 4)Trigonometry Graph (y2)^2=4 (x1) (y − 2)2 = −4(x − 1) ( y 2) 2 = 4 ( x 1) Rewrite the equation as −4(x−1) = (y−2)2 4 ( x 1) = ( y 2) 2 −4(x− 1) = (y−2)2 4 ( x 1) = ( y 2) 2 Divide each term in −4(x− 1) = (y−2)2 4 ( x 1) = ( y 2) 2 by −4 4 and simplify
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Precalculus Examples Popular Problems Precalculus Graph (y1)^2=4 (x1) (y − 1)2 = −4(x − 1) ( y 1) 2 = 4 ( x 1) Rewrite the equation as −4(x−1) = (y−1)2 4 ( x 1) = ( y 1) 2 −4(x− 1) = (y−1)2 4 ( x 1) = ( y 1) 2 Divide each term by −4 4 and simplify56 Step 1 Solve for y 1 — 2 x = y 2 − 4 1 — 2 x 4 = y 2 y = ± √ — 1 — 2 x 4 Step 2 Graph both radical 2 − 4 4 − 10 y = ± x 4 1 2 functions y 1 = √ — 1 — 2 x 4 y 2 = − √ — 1 — 2 x 4 The vertex is (− 8, 0) and the parabola opens right The center is (a,b) and the radius is r (x −2)2 (y −1)2 = 22 This is a circle, center (2,1) and radius = 2 Mark the center at (2,1) then with a compass draw a circle of radius 2 graph { (x2)^2 (y1)^2=4 5847, 6637, 198, 426} Answer link
#y=a(xh)^2k# where (h,k) is the vertex of the parabola For your equation that means the vertex is (1,4) Plot this point NOTE there is a sign change for the h but not k Now we need another point The easiest to find is by letting x=0 #y=2(01)^24# #y=2(1)^24# #y=2(1)4# #y=24# #y=6# So the next point is (0,6)SOLVEDGraph y2=4(x1) we have given with why minus two equals negative four X minus one So for this convert this understanding from the divide minus why when he closed toe m X minus expert So M equals two negative foodRefer explanation section Explanation y = graph { 4x^2 24x 1 3, 3, 4164, 417} Find the vertex x = 2a−b = 2×4−(−24) What is the vertex form of y = −4x2 − 4x 1 ?
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