Q:

PLEASE HELP ME. PLEASEType the correct answer in the box.Write the standard form of the quadratic equation modeled by the points shown in the table below.

Accepted Solution

A:
Answer:y =ax² + bx +c1) Point (0,7)7 = a*0² +b*0 +cc = 7y=ax² + bx + 72) Point (1,4)4=a*1² + b*1 + 7, ----> 4 = a +b + 7, ------> a+b= - 33) Point (2, 5)5=a*2² + b*2 + 7, ----> 5=4a+2b +7,---> -2=4a+2b, ----> -1=2a + b4)  a+b= - 3, ----> b= -3 - a (substitute in the second equation)    2a+b= -12a - 3 - a = -1, ----> a - 3 = -1, a =25) a+b= - 3    2 + b = -3b = -5y=2x² - 5x + 7                                               MARK BRAINIEST PLEASE!!!!!.