Free PreAlgebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators stepbystepThe vertex form is one of the two main ways to represent a quadratic equation The syntax of the equation involves the vertex, the maximum or minimum point of the parabola, hence the name isAdding 12 on both sides;
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Y=x^2+4x-12 vertex form
Y=x^2+4x-12 vertex form-Free PreAlgebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators stepbystepAlgebra Find the Vertex y=x^24x12 y = x2 − 4x − 12 y = x 2 4 x 12 Rewrite the equation in vertex form Tap for more steps y = (x− 2)2 −16 y = ( x 2) 2 16 Use the vertex form, y = a(x−h)2 k y = a ( x h) 2 k, to determine the values of a a, h h, and k k a = 1 a = 1 h = 2 h = 2
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The vertex is on the axis of symmetry __ the equation is x=b/2a x=4/(2*1) __ x=2 substituting __ y=(2)^24(2)12 __ y=16 vertex is (2,16)Precalculus Find the Vertex f (x)=x^24x12 f (x) = x2 − 4x − 12 f ( x) = x 2 4 x 12 Rewrite the equation in vertex form Tap for more steps y = (x− 2)2 −16 y = ( x 2) 2 16 Use the vertex So we know that the x coordinate of the vertex is 2 Then, we just take the equation and plug in x=2, to find the y coordinate y=x^2 4x 12 y=2^2 4*2 12 y=4 8 12 y=16
//socraticorg/questions/howdoyoufindthevertexandinterceptsforyx24x121 Vertex is at (2,8) , y intercept is y = 12 or at (0,12) , xintercept is absent Explanation y = x2Completing the perfect square on theVertex form y= (x2)^2–12 or y16=(x2)^2 Here's my work The given standard form equation y=x^2–4x12;
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