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12 1 Graphing Quadratics in Standard Form

12 1 Graphing Quadratics in Standard Form

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in this lesson you will learn how to graph quadratic functions in standard form the first step is to determine whether the parabola opens upward or downward for a quadratic function in standard form if a is greater than zero the parabola opens upward if a is less than zero the parabola opens downward for our function a is 1 which is greater than zero so the parabola opens upward next find the axis of symmetry which is a vertical line that divides the parabola into the two equal hes the formula for the axis of symmetry is X = B / 2 a for our function a is 1 B is -4 substitute these values into the formula this simplifies to two right therefore the axis of symmetry is the vertical line x = 2 next find the vertex the vertex lies on the axis of symmetry so its x coordinate is the same as the axis of symmetry to find its y-coordinate substitute its x coordinate back into the original function this simplifies to -9 therefore the vertex is the 2 comma -9 next find the Y intercept the Y interc

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