Reflections Stretching and Shrinking

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Presentation transcript:

Reflections Stretching and Shrinking Objective: Students will be able to determine if the graph is flipped over the x axis and if it is stretched or shrunk compared to the parent function.

Parabolas We already talked about the left/right shift and the up/down shift, depending on the equation and the graph We related this to the vertex of the equation or graph Given: Where (h,k) is the vertex and also the translation of the graph

Reflection of the x-axis What would happen to the regular table of data of the parent function to get this to happen All the y coordinates would be negative Take the opposite of whatever the answer is What would the equation look like What would the graph look like

Stretch and Shrink or Fat and Thin More from the equation than getting from the graph Blue is parent function Which one is stretched Black/Thin or skinny Which one is shrunk Red/ Fat or wide This means vertically along the y axis

Given the equation can you describe the transformation Translation Reflected Stretch or Shrink Sketch Does order matter – do I have to translate first or reflect first

Graphs Reflect first and then move to new vertex or translate

Other Parent Functions On your worksheet you saw a log function that you didn’t know anything about Was it any different than the parabola What do you think the equation would look like for a square root to transform it Cubic? Absolute Value? Cube Root?