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Published byJade Hines Modified over 8 years ago
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STARTERS Draw a graph of: y = 3x – 2 Write the equation of the following graphs: x = 2 y = -x + 1
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STARTERS An electrician charges $60 for calling and $45 per hour that he spends on the job. Equation for the electrician charges = Produce a graph of the charges 45H + 60 HC 060 1105 2150 3195 4240 5285
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STARTERS The amount of oil O left in a leaky barrel after t minutes is given by the equation: Produce a graph for the amount of oil left in the barrel O = 160 – 5t tO 0160 2150 4140 6130 8120 10110
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A parabola has: x 2 as its highest power The parabola is symmetric about the vertex Note 3: Parabolas
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Example: Draw the graph of y = x 2
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Investigate by plotting on your calculator y = x 2 y = x 2 + 3y = x 2 - 1
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Moving the Parabola Up/Down y = x 2 + c the vertex moves to c on the y-axis Example: Plot y = x 2 - 2
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Investigate by plotting on your calculator y = x 2 y = (x + 1) 2 y = (x – 2) 2
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Moving the Parabola Left/Right y = (x + a) 2 the vertex moves to the opposite of a on the x-axis Example: Plot y = (x + 4) 2
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Investigate by plotting on your calculator y = x 2 y = (x + 2) 2 - 1y = (x – 1) 2 + 3
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Moving the Parabola in both directions y = (x + a) 2 + c the vertex moves in both directions Example: Plot y = (x - 2) 2 - 3
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Negative Parabolas y = -x 2 the graph is reflected in the x-axis Example: Plot y = -x 2
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