y x 2 graph name How to Graph y x 2 The graph of the y x 2 can be drawn by following the steps mentioned below The first step is to write the equation in the form y alpha x 2 beta x c and determine the value of coefficients alpha beta and c The value of coefficients for y x 2 are alpha 1 beta 0 and c 0
Functional Cookies are used to record your choices and settings regarding our Services maintain your preferences over time and recognize you when you return to our Services These Cookies help us to personalize our content for you greet you by name and remember your preferences for example your choice of language or region Algebra Graph y x 2 y x2 y x 2 Find the properties of the given parabola Tap for more steps Direction Opens Up Vertex 0 0 0 0 Focus 0 1 4 0 1 4 Axis of Symmetry x 0 x 0 Directrix y 1 4 y 1 4 Select a few x x values and plug them into the equation to find the corresponding y y values
y x 2 graph name
y x 2 graph name
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X 2 x 6 0 x 3 gt 2x 1 x 5 x 5 gt 0 10 1 x 10 4 sqrt 3 x 2 6 11x 6x 2 x 3 0 factor x 2 5x 6 simplify frac 2 3 frac 3 2 frac 1 4 x 2y 2x 5 x y 3 Show More Formulation of the properties of the function y x It is not difficult to note the following properties of the graph The y axis is the symmetry axis of the graph The vertex of the parabola is the point 0 0 We see that the function takes only non negative values On the interval where the function decreases and on the interval
Y a x h 2 k This form reveals the vertex h k which in our case is 5 4 It also reveals whether the parabola opens up or down Since a 2 the parabola opens downward This is enough to start sketching the graph Incomplete sketch of y 2 x 5 2 4 Example PageIndex 2 Graph f x 2 x 2 4 x 5 Solution Because the leading coefficient 2 is positive we note that the parabola opens upward Here c 5 and the y intercept is 0 5 To find the x intercepts set f x 0 begin aligned f x 2 x 2 4 x 5 0 2 x 2 4 x 5 end aligned
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Y x 2 graph Natural Language Math Input Extended Keyboard Examples Upload Random Compute answers using Wolfram s breakthrough technology knowledgebase relied on by millions of students professionals For math science nutrition history geography engineering mathematics linguistics sports finance music 123 f x ABC 7 8 9 4 5 6 1 2 3 ans 0 Interactive free online graphing calculator from GeoGebra graph functions plot data drag sliders
Graph Settings X axis Y axis Free online graphing calculator graph functions conics and inequalities interactively begin array c c hline x f x x f x hline 3 frac 1 3 1 2 frac 1 2 2 frac 5 2 3 frac 5 2 hline 2 frac 1 2 1 2 frac 1 1 2 3 2 3 hline 1 frac 1 1 1 2 2 text draw vertical gap line at x 1 hline frac 1 2 frac 1 1 2
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y x 2 graph name - Y a x h 2 k This form reveals the vertex h k which in our case is 5 4 It also reveals whether the parabola opens up or down Since a 2 the parabola opens downward This is enough to start sketching the graph Incomplete sketch of y 2 x 5 2 4