STARTERS Draw a graph of: y = 3x – 2 Write the equation of the following graphs: x = 2 y = -x + 1.

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Presentation transcript:

STARTERS Draw a graph of: y = 3x – 2 Write the equation of the following graphs: x = 2 y = -x + 1

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

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

A parabola has:  x 2 as its highest power  The parabola is symmetric about the vertex Note 3: Parabolas

Example: Draw the graph of y = x 2

Investigate by plotting on your calculator y = x 2 y = x 2 + 3y = x 2 - 1

Moving the Parabola Up/Down y = x 2 + c the vertex moves to c on the y-axis Example: Plot y = x 2 - 2

Investigate by plotting on your calculator y = x 2 y = (x + 1) 2 y = (x – 2) 2

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

Investigate by plotting on your calculator y = x 2 y = (x + 2) 2 - 1y = (x – 1) 2 + 3

Moving the Parabola in both directions y = (x + a) 2 + c the vertex moves in both directions Example: Plot y = (x - 2) 2 - 3

Negative Parabolas y = -x 2 the graph is reflected in the x-axis Example: Plot y = -x 2

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