Week 9 – Pre Calc 11 – Predicting the vertex

This week we learned how to predict the vertex of an equation without graphing it. We have not yet learned the equation to finding the vertex, but predicting the vertex lets us use what we know about quadratic equations without havinv to usw graphing technology. I chose this subjet because I find it to be straight forward and logical. This understanding is important because being able to indentify the vertex is a skill that will be used in math as we continue to develop our skillset.

Lets look at examples a and b that have been handwritten.

We can verify these solutions using graphing techonology to ensure we are correct.

Example C

Verify with desmos

Glossary :

Vertex – the maximum or minimum point on the equation’s parabola.

Parent function – x^{2}

Vertical translations – how far up or down along the y axis the vertex will be.

Horizontal translations – how far right or left along the x axis the equation will be.

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