9.8/9 Quadratic, cubic, and exponentia l Functions

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Presentation transcript:

9.8/9 Quadratic, cubic, and exponentia l Functions

Notes Quadratic Function y = ax2 + bx + c a ≠ 0 Parabola: graph of quadratic function

Positive Graph Graph opens up y = 3x2 - 2 Notes Positive Graph Graph opens up y = 3x2 - 2 Negative Graph Graph opens down y = -x2 + 2

Graph the equation Y = -3x2 Y = x2 +1

Notes Cubic Function y = ax3 + bx2 + cx + d a ≠ 0 Cubic functions form swiggle line.

Graph the equation Y = x3 y = x3 + 1

Notes Exponential Function y = ax + c a ≠ 0 or 1 Exponential functions form gradual inclines/declines.

Graph the equation Y = 2x + 1 y = 4x

Identify the graph linear, quad,cubic,expon.

Identify the graph linear, quad,cubic,expon Y = 3x + 1 Y = 2x – 3 Y = 1/3x2 – 3 Y = 3x3 Y = -2x Y = 3x3 + 2 Y = -8x – 3 Y = 6x2 + 3

Questions/Comments Graphs Wrap up Questions/Comments Graphs

Graph the following Y = x2 Y = x3 - 5 Y = 3x + 2 Y = 3x