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a. substitute three ordered pairs x y in y = ax² + bx + c
b. what are the three equations you came up with?
c. solve for the values of a, b, and c.
d. write the equation of the quadratic function y= ax²+bx+c.
a. substitute three ordered pairs x y in y = ax² + bx + c
b. what are the three equations you came up with?
c. solve for the values of a, b, and c.
d. write the equation of the quadratic function y= ax²+bx+c.
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Answer:
a.
-4 = a(0)² + b(0) + c
-5 = a(1)² + b(1) + c
-8 = a(-2)² + b(-2) + c
b.
c = - 4 E1
a + b + c = -5 E2
4a - 2b + c = -8 E3
c.
substitute E1 to E2
a + b - 4 = -5
a + b = -1 E4
substitute E1 to E3
4a - 2b - 4 = -8
4a - 2b = -4
2a - b = -2. E5
add E4 and E5
3a = -3
a = -1
substitute the value of a to E4
-1 + b = -1
b = 0
d.
y = -x² - 4