How do you graph #y = x² + 2x – 4#?
Graph y = x^2 + 2x - 4
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To graph the equation y = x² + 2x - 4, you can follow these steps:
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Identify the vertex of the parabola using the formula for the vertex of a quadratic function: Vertex = (-b/2a, f(-b/2a)), where a, b, and c are the coefficients of the quadratic equation ax² + bx + c.
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Determine whether the parabola opens upwards or downwards based on the sign of the coefficient of x² (a). If a > 0, the parabola opens upwards; if a < 0, the parabola opens downwards.
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Find the y-intercept by substituting x = 0 into the equation and solving for y.
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Determine the x-intercepts (if any) by setting y = 0 and solving the resulting quadratic equation.
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Plot the vertex, y-intercept, and x-intercepts on the coordinate plane.
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Determine additional points on the graph by choosing values of x and calculating the corresponding values of y using the equation.
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Connect the points to form a smooth curve, representing the graph of the quadratic function.
If you follow these steps, you will accurately graph the equation y = x² + 2x - 4.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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