Part 1: Given y = x2 − 10x + 16 determine the following.

Does the graph open up or down? How do you know?
Explain whether the graph has a maximum or minimum point.
Find the vertex and x-intercepts of the graph.
Part 2: Create your own unique quadratic equation in the form y = ax2 + bx + c that opens the same direction and shares one of the x-intercepts of the graph of y = x2 − 10x + 16. Determine the following. Use complete sentences and show all work to receive full credit.

Explain whether the graph has a maximum or minimum

Question

Part 1: Given y = x2 − 10x + 16 determine the following. 

Does the graph open up or down? How do you know?
Explain whether the graph has a maximum or minimum point.
Find the vertex and x-intercepts of the graph. 
Part 2: Create your own unique quadratic equation in the form y = ax2 + bx + c that opens the same direction and shares one of the x-intercepts of the graph of y = x2 − 10x + 16. Determine the following. Use complete sentences and show all work to receive full credit.

Explain whether the graph has a maximum or minimum

anonymous · Answer

Graph opens up because is a position parabola (x^2 is positive)

anonymous · Answer

It doesn't have a maximum point because both ends are infinite. The minimum point is the vertex.

anonymous · Answer

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