Hey peeps :D whoever answers EVERYTHING in this question, I will give them a medal every time I see a question they've answered even if it sucks. The question is:
Create your own unique quadratic equation in the form y = ax^2 + bx + c that opens the same direction and shares one of the x-intercepts of the graph of y = x^2 - 10x + 16. Determine the following.
Explain whether the graph has a maximum or minimum.
Find the vertex and x-intercepts of the graph.

Question

Hey peeps :D whoever answers EVERYTHING in this question, I will give them a medal every time I see a question they've answered even if it sucks. The question is:
Create your own unique quadratic equation in the form y = ax^2 + bx + c that opens the same direction and shares one of the x-intercepts of the graph of y = x^2 - 10x + 16. Determine the following.
Explain whether the graph has a maximum or minimum.
Find the vertex and x-intercepts of the graph.

anonymous · Answer

y = ax² + bx  + c
y =   x² - 10x + 16 
0 =  ( x - 2) ( x -8 )   
 -> a =1 which open upward so your graph will have minimum.
Say your unique graph shares the x- intercepts = 2, and choose a random x = 4
  ->  ( x - 2) ( x - 4) =   x² - 6x + 8 
then your graph, obviously, has x intercepts x = 2, x = 4, and vertex ( 3, -1)